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AlgTop0: Introduction to Algebraic Topology
AlgTop0: Introduction to Algebraic Topology -
AlgTop2: Homeomorphism and the group structure on a circle
AlgTop2: Homeomorphism and the group structure on a circleAlgTop2: Homeomorphism and the group structure on a circle
This is the full second lecture in this beginner's course on Algebraic Topology. We give the basic definition of homeomorphism between two topological spaces... -
AlgTop1: One-dimensional objects
AlgTop1: One-dimensional objectsAlgTop1: One-dimensional objects
This is the full first lecture of this beginner's course in Algebraic Topology, given by N J Wildberger at UNSW. Here we begin to introduce basic one dimensi... -
AlgTop0c: Introduction to Algebraic Topology (cont.)
AlgTop0c: Introduction to Algebraic Topology (cont.)AlgTop0c: Introduction to Algebraic Topology (cont.)
This is the third video of the introductory lecture of a beginner's course in Algebraic Topology. The subject is one of the most dynamic and exciting areas o... -
Differential Topology | Lecture 1 by John W. Milnor
Differential Topology | Lecture 1 by John W. MilnorDifferential Topology | Lecture 1 by John W. Milnor
Soon after winning the Fields Medal in 1962, a young John Milnor gave these now-famous lectures and wrote his timeless Topology from the Differentiable Viewp... -
AlgTop0b: Introduction to Algebraic Topology (cont.)
AlgTop0b: Introduction to Algebraic Topology (cont.)AlgTop0b: Introduction to Algebraic Topology (cont.)
This is the second video of the introductory lecture of a beginner's course in Algebraic Topology. The subject is one of the most dynamic and exciting areas ... -
Animation Test: Algebraic Topology
Animation Test: Algebraic TopologyAnimation Test: Algebraic Topology
Testing goanimate for functionality. Figured I'd add some interesting dialogue! - created at http://goanimate.com/ -
AlgTop0d: Introduction to Algebraic Topology (last)
AlgTop0d: Introduction to Algebraic Topology (last)AlgTop0d: Introduction to Algebraic Topology (last)
This is the fourth and final video of the introductory lecture of a beginner's course in Algebraic Topology. The subject is one of the most dynamic and excit... -
AlgTop0a: Introduction to Algebraic Topology
AlgTop0a: Introduction to Algebraic TopologyAlgTop0a: Introduction to Algebraic Topology
NOTE: This entire series is now available in the full (hour long lectures), also at this channel under the playlist AlgTop (full lectures): http://www.youtub... -
String trick using algebraic topology
String trick using algebraic topologyString trick using algebraic topology
How not to put a picture on the wall! Using fundamental group algebra one can derive similar finger-string tricks. descripition here: http://dl.dropbox.com/u... -
Swarms of blind robots - Algebraic topology in the 21st century
Swarms of blind robots - Algebraic topology in the 21st centurySwarms of blind robots - Algebraic topology in the 21st century
Vin de Silva, Pomona College, California - Digiteo chair Classical algebraic topology is one of the phenomenal successes of 20th century mathematics. It is t... -
Algebraic Topology Study (WSM), #2
Algebraic Topology Study (WSM), #2Algebraic Topology Study (WSM), #2
Watch as I read A First Course in Algebraic Topology by William S. Massey for the first time! I hope you find this both funny and educational (perhaps you can find where I say something silly.. both mathematically and otherwise). Still playing with the setup. Cursor is not visible as I am writing.. This will be fixed in future videos. -
30DMC - Algebraic Topology Day 1
30DMC - Algebraic Topology Day 130DMC - Algebraic Topology Day 1
I am doing my first readthrough of William S. Massey's book A Basic Course in Algebraic Topology. This is a summary of the concepts I've picked up on in chapter 2 §1-§5. -
30 Day Math Challenge: Algebraic Topology and Modular Forms - Introduction
30 Day Math Challenge: Algebraic Topology and Modular Forms - Introduction30 Day Math Challenge: Algebraic Topology and Modular Forms - Introduction
Introduction video to the following 30 day math challenge. Sunday 25th of August to 22nd September (including both days). The two books to be covered are A Basic Course in Algebraic Topology by William S. Massey and A First Course in Modular Forms by Fred Diamond and Jerry Shurman.
- Abstract algebra
- Algebra
- Algebraic geometry
- Algebraic K-theory
- Algebraic topology
- Applied mathematics
- Areas of mathematics
- Arithmetic
- Armand Borel
- Betti number
- Borsuk–Ulam theorem
- Calculus
- Category theory
- Cohomology
- Cohomology theory
- Combinatorics
- Continuous function
- Control theory
- Covering space
- CW complex
- Daniel Kan
- Daniel Quillen
- De Rham
- De Rham cohomology
- Dennis Sullivan
- Discrete geometry
- Discrete mathematics
- Egbert van Kampen
- Elementary algebra
- Emmy Noether
- Exact sequence
- Frank Adams
- Free group
- Friedrich Hirzebruch
- Functor
- Functors
- Fundamental group
- Game theory
- Geometry
- Graph (mathematics)
- Graph theory
- Group (mathematics)
- Groupoid
- Groupoids
- Hairy ball theorem
- Hans Freudenthal
- Hassler Whitney
- Heinz Hopf
- Henri Cartan
- Hermann Künneth
- Hiroshi Toda
- Homeomorphic
- Homeomorphism
- Homological algebra
- Homology theory
- Homotopy
- Homotopy theory
- Hurewicz theorem
- Information theory
- J. H. C. Whitehead
- J. Peter May
- Jack Morava
- Jean Leray
- Jean-Pierre Serre
- John Coleman Moore
- K-theory
- Karol Borsuk
- Künneth theorem
- Leopold Vietoris
- Lev Pontryagin
- Lie algebroid
- Lie groupoid
- Lie theory
- Linear algebra
- Manifold
- Mark Mahowald
- Mathematical logic
- Mathematical physics
- Mathematics
- Michael J. Hopkins
- Mikhail Postnikov
- Multilinear algebra
- Norman Steenrod
- Number theory
- Numerical analysis
- Orientable
- Peter Freyd
- PlanetMath
- Poincaré duality
- Portal Mathematics
- Probability theory
- Pure mathematics
- René Thom
- Samuel Eilenberg
- Saunders Mac Lane
- Set theory
- Sheaf (mathematics)
- Sheaf cohomology
- Simplicial complex
- Singular homology
- Solomon Lefschetz
- Stephen Smale
- Topological space
- Topology
- TQFT
- Up to
- Van Kampen's theorem
- Weak equivalence
- Whitehead's theorem
- Witold Hurewicz
- Armand Borel
- Daniel Kan
- Daniel Quillen
- Dennis Sullivan
- Egbert van Kampen
- Emmy Noether
- Frank Adams
- Friedrich Hirzebruch
- Hans Freudenthal
- Hassler Whitney
- Heinz Hopf
- Henri Cartan
- Hermann Künneth
- Hiroshi Toda
- Jack Morava
- Jean Leray
- John Coleman Moore
- Karol Borsuk
- Leopold Vietoris
- Lev Pontryagin
- Mark Mahowald
- Mikhail Postnikov
- Norman Steenrod
- René Thom
- Samuel Eilenberg
- Saunders Mac Lane
- Solomon Lefschetz
- Stephen Smale
- Witold Hurewicz
-
AlgTop0: Introduction to Algebraic Topology
AlgTop0: Introduction to Algebraic TopologyAlgTop0: Introduction to Algebraic Topology
This is the Introductory lecture to a beginner's course in Algebraic Topology given by N J Wildberger of the School of Mathematics and Statistics at UNSW in ... -
AlgTop2: Homeomorphism and the group structure on a circle
AlgTop2: Homeomorphism and the group structure on a circleAlgTop2: Homeomorphism and the group structure on a circle
This is the full second lecture in this beginner's course on Algebraic Topology. We give the basic definition of homeomorphism between two topological spaces... -
AlgTop1: One-dimensional objects
AlgTop1: One-dimensional objectsAlgTop1: One-dimensional objects
This is the full first lecture of this beginner's course in Algebraic Topology, given by N J Wildberger at UNSW. Here we begin to introduce basic one dimensi... -
AlgTop0c: Introduction to Algebraic Topology (cont.)
AlgTop0c: Introduction to Algebraic Topology (cont.)AlgTop0c: Introduction to Algebraic Topology (cont.)
This is the third video of the introductory lecture of a beginner's course in Algebraic Topology. The subject is one of the most dynamic and exciting areas o... -
Differential Topology | Lecture 1 by John W. Milnor
Differential Topology | Lecture 1 by John W. MilnorDifferential Topology | Lecture 1 by John W. Milnor
Soon after winning the Fields Medal in 1962, a young John Milnor gave these now-famous lectures and wrote his timeless Topology from the Differentiable Viewp... -
AlgTop0b: Introduction to Algebraic Topology (cont.)
AlgTop0b: Introduction to Algebraic Topology (cont.)AlgTop0b: Introduction to Algebraic Topology (cont.)
This is the second video of the introductory lecture of a beginner's course in Algebraic Topology. The subject is one of the most dynamic and exciting areas ... -
Animation Test: Algebraic Topology
Animation Test: Algebraic TopologyAnimation Test: Algebraic Topology
Testing goanimate for functionality. Figured I'd add some interesting dialogue! - created at http://goanimate.com/ -
AlgTop0d: Introduction to Algebraic Topology (last)
AlgTop0d: Introduction to Algebraic Topology (last)AlgTop0d: Introduction to Algebraic Topology (last)
This is the fourth and final video of the introductory lecture of a beginner's course in Algebraic Topology. The subject is one of the most dynamic and excit... -
AlgTop0a: Introduction to Algebraic Topology
AlgTop0a: Introduction to Algebraic TopologyAlgTop0a: Introduction to Algebraic Topology
NOTE: This entire series is now available in the full (hour long lectures), also at this channel under the playlist AlgTop (full lectures): http://www.youtub... -
String trick using algebraic topology
String trick using algebraic topologyString trick using algebraic topology
How not to put a picture on the wall! Using fundamental group algebra one can derive similar finger-string tricks. descripition here: http://dl.dropbox.com/u... -
Swarms of blind robots - Algebraic topology in the 21st century
Swarms of blind robots - Algebraic topology in the 21st centurySwarms of blind robots - Algebraic topology in the 21st century
Vin de Silva, Pomona College, California - Digiteo chair Classical algebraic topology is one of the phenomenal successes of 20th century mathematics. It is t... -
Algebraic Topology Study (WSM), #2
Algebraic Topology Study (WSM), #2Algebraic Topology Study (WSM), #2
Watch as I read A First Course in Algebraic Topology by William S. Massey for the first time! I hope you find this both funny and educational (perhaps you can find where I say something silly.. both mathematically and otherwise). Still playing with the setup. Cursor is not visible as I am writing.. This will be fixed in future videos. -
30DMC - Algebraic Topology Day 1
30DMC - Algebraic Topology Day 130DMC - Algebraic Topology Day 1
I am doing my first readthrough of William S. Massey's book A Basic Course in Algebraic Topology. This is a summary of the concepts I've picked up on in chapter 2 §1-§5. -
30 Day Math Challenge: Algebraic Topology and Modular Forms - Introduction
30 Day Math Challenge: Algebraic Topology and Modular Forms - Introduction30 Day Math Challenge: Algebraic Topology and Modular Forms - Introduction
Introduction video to the following 30 day math challenge. Sunday 25th of August to 22nd September (including both days). The two books to be covered are A Basic Course in Algebraic Topology by William S. Massey and A First Course in Modular Forms by Fred Diamond and Jerry Shurman. -
Algebraic Topology (Silly Anthropology Parody)
Algebraic Topology (Silly Anthropology Parody)Algebraic Topology (Silly Anthropology Parody)
Thanks to LovelyFluttershy for allowing me to use the instrumental. This is a bit on the nerdy side of things, but hey... I gotta live up to my cutie mark at... -
What is Algebraic Topology?
What is Algebraic Topology?What is Algebraic Topology?
The classification of spaces and surfaces by texture, density, and n-dimensional holes. -
How to Learn Algebraic Topology
How to Learn Algebraic TopologyHow to Learn Algebraic Topology
-
Algebraic Topology rocks!
Algebraic Topology rocks!Algebraic Topology rocks!
Not that you needed me to tell you. -
Kate Poirier: Compactifying String Topology
Kate Poirier: Compactifying String TopologyKate Poirier: Compactifying String Topology
Kate Poirier, University of California - Berkeley String topology studies the algebraic topology of the free loop space of a closed, oriented manifold. Previ... -
AlgTopReview: An informal introduction to abstract algebra
AlgTopReview: An informal introduction to abstract algebraAlgTopReview: An informal introduction to abstract algebra
This is a review lecture on some aspects of abstract algebra useful for algebraic topology. It provides some background on fields, rings and vector spaces fo... -
Higher Categories and Algebraic K-Theory (Andrew Blumberg @ MSRI)
Higher Categories and Algebraic K-Theory (Andrew Blumberg @ MSRI)Higher Categories and Algebraic K-Theory (Andrew Blumberg @ MSRI)
From the MSRI introductory workshop on "Algebraic Topology" that took place at MSRI, Berkeley in January 2014. The workshop page (with videos and references and exercises) can be found here: http://www.msri.org/workshops/685 The page for this particular talk is: http://www.msri.org/workshops/685/schedules/17885 -
AlgTop30: An introduction to homology
AlgTop30: An introduction to homologyAlgTop30: An introduction to homology
We briefly describe the higher homotopy groups which extend the fundamental group to higher dimensions, trying to capture what it means for a space to have h... -
Loop Groups, TQFTs, and Algebraic Geometry (Constantin Teleman @ MSRI)
Loop Groups, TQFTs, and Algebraic Geometry (Constantin Teleman @ MSRI)Loop Groups, TQFTs, and Algebraic Geometry (Constantin Teleman @ MSRI)
From the MSRI introductory workshop on "Algebraic Topology" that took place at MSRI, Berkeley in January 2014. The workshop page (with videos and references ...
AlgTop0: Introduction to Algebraic Topology
- Duration: 30:06
- Updated: 02 Sep 2014
This is the Introductory lecture to a beginner's course in Algebraic Topology given by N J Wildberger of the School of Mathematics and Statistics at UNSW in ...
http://wn.com/AlgTop0_Introduction_to_Algebraic_Topology
This is the Introductory lecture to a beginner's course in Algebraic Topology given by N J Wildberger of the School of Mathematics and Statistics at UNSW in ...
- published: 26 Jul 2010
- views: 66545
- author: UNSWelearning
AlgTop2: Homeomorphism and the group structure on a circle
- Duration: 52:09
- Updated: 05 Sep 2014
This is the full second lecture in this beginner's course on Algebraic Topology. We give the basic definition of homeomorphism between two topological spaces...
http://wn.com/AlgTop2_Homeomorphism_and_the_group_structure_on_a_circle
This is the full second lecture in this beginner's course on Algebraic Topology. We give the basic definition of homeomorphism between two topological spaces...
- published: 10 Mar 2011
- views: 16269
- author: njwildberger
AlgTop1: One-dimensional objects
- Duration: 32:19
- Updated: 14 Aug 2013
This is the full first lecture of this beginner's course in Algebraic Topology, given by N J Wildberger at UNSW. Here we begin to introduce basic one dimensi...
http://wn.com/AlgTop1_One-dimensional_objects
This is the full first lecture of this beginner's course in Algebraic Topology, given by N J Wildberger at UNSW. Here we begin to introduce basic one dimensi...
- published: 10 Mar 2011
- views: 11231
- author: njwildberger
AlgTop0c: Introduction to Algebraic Topology (cont.)
- Duration: 8:18
- Updated: 04 Jul 2013
This is the third video of the introductory lecture of a beginner's course in Algebraic Topology. The subject is one of the most dynamic and exciting areas o...
http://wn.com/AlgTop0c_Introduction_to_Algebraic_Topology_(cont.)
This is the third video of the introductory lecture of a beginner's course in Algebraic Topology. The subject is one of the most dynamic and exciting areas o...
- published: 23 Jul 2010
- views: 3906
- author: njwildberger
Differential Topology | Lecture 1 by John W. Milnor
- Duration: 56:29
- Updated: 04 Sep 2014
Soon after winning the Fields Medal in 1962, a young John Milnor gave these now-famous lectures and wrote his timeless Topology from the Differentiable Viewp...
http://wn.com/Differential_Topology_|_Lecture_1_by_John_W._Milnor
Soon after winning the Fields Medal in 1962, a young John Milnor gave these now-famous lectures and wrote his timeless Topology from the Differentiable Viewp...
- published: 29 Mar 2014
- views: 2825
- author: It\'s so blatant
AlgTop0b: Introduction to Algebraic Topology (cont.)
- Duration: 8:30
- Updated: 04 Jul 2013
This is the second video of the introductory lecture of a beginner's course in Algebraic Topology. The subject is one of the most dynamic and exciting areas ...
http://wn.com/AlgTop0b_Introduction_to_Algebraic_Topology_(cont.)
This is the second video of the introductory lecture of a beginner's course in Algebraic Topology. The subject is one of the most dynamic and exciting areas ...
- published: 23 Jul 2010
- views: 3844
- author: njwildberger
Animation Test: Algebraic Topology
- Duration: 1:28
- Updated: 25 Jun 2013
Testing goanimate for functionality. Figured I'd add some interesting dialogue! - created at http://goanimate.com/
http://wn.com/Animation_Test_Algebraic_Topology
Testing goanimate for functionality. Figured I'd add some interesting dialogue! - created at http://goanimate.com/
- published: 25 Jun 2013
- views: 22
AlgTop0d: Introduction to Algebraic Topology (last)
- Duration: 3:37
- Updated: 04 Jul 2013
This is the fourth and final video of the introductory lecture of a beginner's course in Algebraic Topology. The subject is one of the most dynamic and excit...
http://wn.com/AlgTop0d_Introduction_to_Algebraic_Topology_(last)
This is the fourth and final video of the introductory lecture of a beginner's course in Algebraic Topology. The subject is one of the most dynamic and excit...
- published: 23 Jul 2010
- views: 3521
- author: njwildberger
AlgTop0a: Introduction to Algebraic Topology
- Duration: 9:51
- Updated: 01 Aug 2014
NOTE: This entire series is now available in the full (hour long lectures), also at this channel under the playlist AlgTop (full lectures): http://www.youtub...
http://wn.com/AlgTop0a_Introduction_to_Algebraic_Topology
NOTE: This entire series is now available in the full (hour long lectures), also at this channel under the playlist AlgTop (full lectures): http://www.youtub...
- published: 22 Jul 2010
- views: 13029
- author: njwildberger
String trick using algebraic topology
- Duration: 2:36
- Updated: 17 Jul 2013
How not to put a picture on the wall! Using fundamental group algebra one can derive similar finger-string tricks. descripition here: http://dl.dropbox.com/u...
http://wn.com/String_trick_using_algebraic_topology
How not to put a picture on the wall! Using fundamental group algebra one can derive similar finger-string tricks. descripition here: http://dl.dropbox.com/u...
- published: 06 May 2012
- views: 620
- author: gaebor1
Swarms of blind robots - Algebraic topology in the 21st century
- Duration: 15:22
- Updated: 16 Apr 2013
Vin de Silva, Pomona College, California - Digiteo chair Classical algebraic topology is one of the phenomenal successes of 20th century mathematics. It is t...
http://wn.com/Swarms_of_blind_robots_-_Algebraic_topology_in_the_21st_century
Vin de Silva, Pomona College, California - Digiteo chair Classical algebraic topology is one of the phenomenal successes of 20th century mathematics. It is t...
- published: 06 Dec 2012
- views: 93
- author: ReseauDigiteo
Algebraic Topology Study (WSM), #2
- Duration: 85:23
- Updated: 25 Aug 2014
Watch as I read A First Course in Algebraic Topology by William S. Massey for the first time! I hope you find this both funny and educational (perhaps you can find where I say something silly.. both mathematically and otherwise).
Still playing with the setup. Cursor is not visible as I am writing.. This will be fixed in future videos.
http://wn.com/Algebraic_Topology_Study_(WSM),_2
Watch as I read A First Course in Algebraic Topology by William S. Massey for the first time! I hope you find this both funny and educational (perhaps you can find where I say something silly.. both mathematically and otherwise).
Still playing with the setup. Cursor is not visible as I am writing.. This will be fixed in future videos.
- published: 25 Aug 2014
- views: 1
30DMC - Algebraic Topology Day 1
- Duration: 43:31
- Updated: 24 Aug 2014
I am doing my first readthrough of William S. Massey's book A Basic Course in Algebraic Topology. This is a summary of the concepts I've picked up on in chapter 2 §1-§5.
http://wn.com/30DMC_-_Algebraic_Topology_Day_1
I am doing my first readthrough of William S. Massey's book A Basic Course in Algebraic Topology. This is a summary of the concepts I've picked up on in chapter 2 §1-§5.
- published: 24 Aug 2014
- views: 6
30 Day Math Challenge: Algebraic Topology and Modular Forms - Introduction
- Duration: 1:50
- Updated: 24 Aug 2014
Introduction video to the following 30 day math challenge. Sunday 25th of August to 22nd September (including both days). The two books to be covered are A Basic Course in Algebraic Topology by William S. Massey and A First Course in Modular Forms by Fred Diamond and Jerry Shurman.
http://wn.com/30_Day_Math_Challenge_Algebraic_Topology_and_Modular_Forms_-_Introduction
Introduction video to the following 30 day math challenge. Sunday 25th of August to 22nd September (including both days). The two books to be covered are A Basic Course in Algebraic Topology by William S. Massey and A First Course in Modular Forms by Fred Diamond and Jerry Shurman.
- published: 24 Aug 2014
- views: 2
Algebraic Topology (Silly Anthropology Parody)
- Duration: 2:19
- Updated: 26 Jul 2014
Thanks to LovelyFluttershy for allowing me to use the instrumental. This is a bit on the nerdy side of things, but hey... I gotta live up to my cutie mark at...
http://wn.com/Algebraic_Topology_(Silly_Anthropology_Parody)
Thanks to LovelyFluttershy for allowing me to use the instrumental. This is a bit on the nerdy side of things, but hey... I gotta live up to my cutie mark at...
- published: 30 Dec 2013
- views: 224
- author: SpikeIsBestDragon
What is Algebraic Topology?
- Duration: 0:35
- Updated: 23 Jun 2012
The classification of spaces and surfaces by texture, density, and n-dimensional holes.
http://wn.com/What_is_Algebraic_Topology?
The classification of spaces and surfaces by texture, density, and n-dimensional holes.
- published: 05 Jul 2010
- views: 783
- author: Keith Raskin
How to Learn Algebraic Topology
- Duration: 0:25
- Updated: 18 Jan 2014
http://wn.com/How_to_Learn_Algebraic_Topology
- published: 18 Jan 2014
- views: 0
Algebraic Topology rocks!
- Duration: 0:08
- Updated: 16 Jan 2013
Not that you needed me to tell you.
http://wn.com/Algebraic_Topology_rocks!
Kate Poirier: Compactifying String Topology
- Duration: 74:11
- Updated: 06 Aug 2014
Kate Poirier, University of California - Berkeley String topology studies the algebraic topology of the free loop space of a closed, oriented manifold. Previ...
http://wn.com/Kate_Poirier_Compactifying_String_Topology
Kate Poirier, University of California - Berkeley String topology studies the algebraic topology of the free loop space of a closed, oriented manifold. Previ...
- published: 25 Jul 2012
- views: 2693
- author: NDdotEDU
AlgTopReview: An informal introduction to abstract algebra
- Duration: 48:55
- Updated: 19 Aug 2014
This is a review lecture on some aspects of abstract algebra useful for algebraic topology. It provides some background on fields, rings and vector spaces fo...
http://wn.com/AlgTopReview_An_informal_introduction_to_abstract_algebra
This is a review lecture on some aspects of abstract algebra useful for algebraic topology. It provides some background on fields, rings and vector spaces fo...
- published: 10 Aug 2012
- views: 14372
- author: njwildberger
Higher Categories and Algebraic K-Theory (Andrew Blumberg @ MSRI)
- Duration: 58:10
- Updated: 06 Aug 2014
From the MSRI introductory workshop on "Algebraic Topology" that took place at MSRI, Berkeley in January 2014. The workshop page (with videos and references and exercises) can be found here:
http://www.msri.org/workshops/685
The page for this particular talk is:
http://www.msri.org/workshops/685/schedules/17885
http://wn.com/Higher_Categories_and_Algebraic_K-Theory_(Andrew_Blumberg_@_MSRI)
From the MSRI introductory workshop on "Algebraic Topology" that took place at MSRI, Berkeley in January 2014. The workshop page (with videos and references and exercises) can be found here:
http://www.msri.org/workshops/685
The page for this particular talk is:
http://www.msri.org/workshops/685/schedules/17885
- published: 06 Aug 2014
- views: 1
AlgTop30: An introduction to homology
- Duration: 46:57
- Updated: 31 Aug 2014
We briefly describe the higher homotopy groups which extend the fundamental group to higher dimensions, trying to capture what it means for a space to have h...
http://wn.com/AlgTop30_An_introduction_to_homology
We briefly describe the higher homotopy groups which extend the fundamental group to higher dimensions, trying to capture what it means for a space to have h...
- published: 04 Oct 2012
- views: 8341
- author: njwildberger
Loop Groups, TQFTs, and Algebraic Geometry (Constantin Teleman @ MSRI)
- Duration: 62:15
- Updated: 06 Aug 2014
From the MSRI introductory workshop on "Algebraic Topology" that took place at MSRI, Berkeley in January 2014. The workshop page (with videos and references ...
http://wn.com/Loop_Groups,_TQFTs,_and_Algebraic_Geometry_(Constantin_Teleman_@_MSRI)
From the MSRI introductory workshop on "Algebraic Topology" that took place at MSRI, Berkeley in January 2014. The workshop page (with videos and references ...
- published: 06 Aug 2014
- views: 29
- author: LeonhardEuler1
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30:06
AlgTop0: Introduction to Algebraic Topology
This is the Introductory lecture to a beginner's course in Algebraic Topology given by N J...
published: 26 Jul 2010
author: UNSWelearning
AlgTop0: Introduction to Algebraic Topology
AlgTop0: Introduction to Algebraic Topology
This is the Introductory lecture to a beginner's course in Algebraic Topology given by N J Wildberger of the School of Mathematics and Statistics at UNSW in ...- published: 26 Jul 2010
- views: 66545
- author: UNSWelearning
52:09
AlgTop2: Homeomorphism and the group structure on a circle
This is the full second lecture in this beginner's course on Algebraic Topology. We give t...
published: 10 Mar 2011
author: njwildberger
AlgTop2: Homeomorphism and the group structure on a circle
AlgTop2: Homeomorphism and the group structure on a circle
This is the full second lecture in this beginner's course on Algebraic Topology. We give the basic definition of homeomorphism between two topological spaces...- published: 10 Mar 2011
- views: 16269
- author: njwildberger
32:19
AlgTop1: One-dimensional objects
This is the full first lecture of this beginner's course in Algebraic Topology, given by N...
published: 10 Mar 2011
author: njwildberger
AlgTop1: One-dimensional objects
AlgTop1: One-dimensional objects
This is the full first lecture of this beginner's course in Algebraic Topology, given by N J Wildberger at UNSW. Here we begin to introduce basic one dimensi...- published: 10 Mar 2011
- views: 11231
- author: njwildberger
8:18
AlgTop0c: Introduction to Algebraic Topology (cont.)
This is the third video of the introductory lecture of a beginner's course in Algebraic To...
published: 23 Jul 2010
author: njwildberger
AlgTop0c: Introduction to Algebraic Topology (cont.)
AlgTop0c: Introduction to Algebraic Topology (cont.)
This is the third video of the introductory lecture of a beginner's course in Algebraic Topology. The subject is one of the most dynamic and exciting areas o...- published: 23 Jul 2010
- views: 3906
- author: njwildberger
56:29
Differential Topology | Lecture 1 by John W. Milnor
Soon after winning the Fields Medal in 1962, a young John Milnor gave these now-famous lec...
published: 29 Mar 2014
author: It\'s so blatant
Differential Topology | Lecture 1 by John W. Milnor
Differential Topology | Lecture 1 by John W. Milnor
Soon after winning the Fields Medal in 1962, a young John Milnor gave these now-famous lectures and wrote his timeless Topology from the Differentiable Viewp...- published: 29 Mar 2014
- views: 2825
- author: It\'s so blatant
8:30
AlgTop0b: Introduction to Algebraic Topology (cont.)
This is the second video of the introductory lecture of a beginner's course in Algebraic T...
published: 23 Jul 2010
author: njwildberger
AlgTop0b: Introduction to Algebraic Topology (cont.)
AlgTop0b: Introduction to Algebraic Topology (cont.)
This is the second video of the introductory lecture of a beginner's course in Algebraic Topology. The subject is one of the most dynamic and exciting areas ...- published: 23 Jul 2010
- views: 3844
- author: njwildberger
1:28
Animation Test: Algebraic Topology
Testing goanimate for functionality. Figured I'd add some interesting dialogue! - created ...
published: 25 Jun 2013
Animation Test: Algebraic Topology
Animation Test: Algebraic Topology
Testing goanimate for functionality. Figured I'd add some interesting dialogue! - created at http://goanimate.com/- published: 25 Jun 2013
- views: 22
3:37
AlgTop0d: Introduction to Algebraic Topology (last)
This is the fourth and final video of the introductory lecture of a beginner's course in A...
published: 23 Jul 2010
author: njwildberger
AlgTop0d: Introduction to Algebraic Topology (last)
AlgTop0d: Introduction to Algebraic Topology (last)
This is the fourth and final video of the introductory lecture of a beginner's course in Algebraic Topology. The subject is one of the most dynamic and excit...- published: 23 Jul 2010
- views: 3521
- author: njwildberger
9:51
AlgTop0a: Introduction to Algebraic Topology
NOTE: This entire series is now available in the full (hour long lectures), also at this c...
published: 22 Jul 2010
author: njwildberger
AlgTop0a: Introduction to Algebraic Topology
AlgTop0a: Introduction to Algebraic Topology
NOTE: This entire series is now available in the full (hour long lectures), also at this channel under the playlist AlgTop (full lectures): http://www.youtub...- published: 22 Jul 2010
- views: 13029
- author: njwildberger
2:36
String trick using algebraic topology
How not to put a picture on the wall! Using fundamental group algebra one can derive simil...
published: 06 May 2012
author: gaebor1
String trick using algebraic topology
String trick using algebraic topology
How not to put a picture on the wall! Using fundamental group algebra one can derive similar finger-string tricks. descripition here: http://dl.dropbox.com/u...- published: 06 May 2012
- views: 620
- author: gaebor1
15:22
Swarms of blind robots - Algebraic topology in the 21st century
Vin de Silva, Pomona College, California - Digiteo chair Classical algebraic topology is o...
published: 06 Dec 2012
author: ReseauDigiteo
Swarms of blind robots - Algebraic topology in the 21st century
Swarms of blind robots - Algebraic topology in the 21st century
Vin de Silva, Pomona College, California - Digiteo chair Classical algebraic topology is one of the phenomenal successes of 20th century mathematics. It is t...- published: 06 Dec 2012
- views: 93
- author: ReseauDigiteo
85:23
Algebraic Topology Study (WSM), #2
Watch as I read A First Course in Algebraic Topology by William S. Massey for the first ti...
published: 25 Aug 2014
Algebraic Topology Study (WSM), #2
Algebraic Topology Study (WSM), #2
Watch as I read A First Course in Algebraic Topology by William S. Massey for the first time! I hope you find this both funny and educational (perhaps you can find where I say something silly.. both mathematically and otherwise). Still playing with the setup. Cursor is not visible as I am writing.. This will be fixed in future videos.- published: 25 Aug 2014
- views: 1
43:31
30DMC - Algebraic Topology Day 1
I am doing my first readthrough of William S. Massey's book A Basic Course in Algebraic To...
published: 24 Aug 2014
30DMC - Algebraic Topology Day 1
30DMC - Algebraic Topology Day 1
I am doing my first readthrough of William S. Massey's book A Basic Course in Algebraic Topology. This is a summary of the concepts I've picked up on in chapter 2 §1-§5.- published: 24 Aug 2014
- views: 6
1:50
30 Day Math Challenge: Algebraic Topology and Modular Forms - Introduction
Introduction video to the following 30 day math challenge. Sunday 25th of August to 22nd S...
published: 24 Aug 2014
30 Day Math Challenge: Algebraic Topology and Modular Forms - Introduction
30 Day Math Challenge: Algebraic Topology and Modular Forms - Introduction
Introduction video to the following 30 day math challenge. Sunday 25th of August to 22nd September (including both days). The two books to be covered are A Basic Course in Algebraic Topology by William S. Massey and A First Course in Modular Forms by Fred Diamond and Jerry Shurman.- published: 24 Aug 2014
- views: 2
Youtube results:
2:19
Algebraic Topology (Silly Anthropology Parody)
Thanks to LovelyFluttershy for allowing me to use the instrumental. This is a bit on the n...
published: 30 Dec 2013
author: SpikeIsBestDragon
Algebraic Topology (Silly Anthropology Parody)
Algebraic Topology (Silly Anthropology Parody)
Thanks to LovelyFluttershy for allowing me to use the instrumental. This is a bit on the nerdy side of things, but hey... I gotta live up to my cutie mark at...- published: 30 Dec 2013
- views: 224
- author: SpikeIsBestDragon
0:35
What is Algebraic Topology?
The classification of spaces and surfaces by texture, density, and n-dimensional holes....
published: 05 Jul 2010
author: Keith Raskin
What is Algebraic Topology?
What is Algebraic Topology?
The classification of spaces and surfaces by texture, density, and n-dimensional holes.- published: 05 Jul 2010
- views: 783
- author: Keith Raskin
0:08
Algebraic Topology rocks!
Not that you needed me to tell you....
published: 30 Jul 2012
author: daniel staley
Algebraic Topology rocks!
Algebraic Topology rocks!
Not that you needed me to tell you.- published: 30 Jul 2012
- views: 58
- author: daniel staley
photo: AP
24 Sep 2014
The Islamic militant group, also called the Soldiers of the Caliphate, has known ties to the Islamic State in Iraq and the Levant (ISIL). As reported by Al Jazeera, members of Jund al-Khilafa were previously associated with al-Qaeda. However, they eventually “pledged allegiance to ISIL” and formed their own militant group ... Following Herve Gourdel’s kidnapping, Jund al-Khalifa released two videos ... [Image via Al Jazeera]....(size: 2.6Kb)
photo: AP / Saurabh Das
23 Sep 2014
A student was killed by a white tiger after apparently jumping into its enclosure at Delhi Zoo. National Zoological Park spokesman Riyaz Ahmed Khan said the man climbed over a knee-high fence, through some small hedges, then jumped down 18 feet into a protective moat. The male tiger, which lives on a grassy tree-filled island, grabbed the man from the moat. Footage broadcast on NDTV showed the tiger carrying the man around the island ... ....(size: 11.5Kb)
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The Independent
21 Sep 2014
... algebra, completing linear equations in around 15 minutes, and then delving into the quadratic equation ... In the 1940s and ’50s, major UK figures in this area included Titchmarsh, ML Cartwright, and JE Littlewood, but then the subject fell in stature compared to more abstract and “pure” types of mathematics, such as (“modern”) algebra and topology....(size: 5.3Kb)
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noodls
07 Aug 2014
(Source. Radboud Universiteit) ... Guillén Fernandez, John Jansen, Han van Krieken, Antje Meyer and Ieke Moerdijk ... Ieke Moerdijk researches topology ... He is also one of the founders of the algebraic set theory, a field that provides insight into the basic rules governing current mathematics. Moerdijk is professor of Algebra and Topology and a renowned mathematician with five authoritative books and more than a hundred articles to his name....(size: 4.7Kb)
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The Hindu
27 Jul 2014
In this increasingly digital world, mathematics is everywhere ... For those of you who are fascinated by matrices, search engines work on a structure driven by linear algebra. Algebra lovers will be pleased to hear that CDs and DVDs encode information in the form of polynomials over finite fields ... Prof ... Besides statistics and machine learning, one should consider algebraic topology, graph theory, dynamical systems and number theory.”....(size: 5.9Kb)
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The Examiner
05 Jul 2014
He has been featured in the TEDxTeen talk "Forget What You Know" and he has his own You-Tube channel where he explains concepts like quantum mechanics, scientific notation, calculus and linear algebra for viewers of all ages ... Ruth Elke Lawrence-Naimark (1971- ) is an Associate Professor of mathematics at the Einstein Institute of Mathematics, Hebrew University of Jerusalem, and a researcher in knot theory and algebraic topology....(size: 24.7Kb)
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The Irish Times
20 Mar 2014
An example of this unification was the merger of algebra and geometry by the great French philosopher René Descartes. His coordinate geometry enabled geometric objects such as lines and circles to be expressed using algebraic equations. Geometric results could then be demonstrated by purely algebraic means ... And algebraic topology, introduced by Henri Poincaré, uses algebraic methods like group theory to characterise topological spaces....(size: 3.4Kb)
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noodls
19 Mar 2014
(Source. University of Leicester). University of Leicester to work with business and industry to shape postgraduate degree programmes. Issued by University of Leicester Press Office on 19 March 2014 ... Ends ... It undertakes research, training and postgraduate teaching in the study of finance, risk management, dynamical systems, computational modelling, actuarial science, data analysis, algebra, topology and associated fields ... distributed by....(size: 6.1Kb)
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>Chapman University Announces Dr. Andrew Lyon as New Dean for Schmid College of Science and Technology
Seattle Post31 Jan 2014
Coming to Chapman from the Georgia Institute of Technology, Dr. Lyon begins his tenure as the third dean of the Schmid School on July 1, 2014. Orange, CA (PRWEB) January 30, 2014. Chapman University has appointed Dr. Andrew Lyon the new dean of the Schmid College of Science and Technology ... He replaces Dr ... Dr ... Lyon ... and Ph.D ... Earth Systems Modeling and Observation; Computation, Algebra and Topology; and Complex and Hyper Complex Analysis ... ###....(size: 4.0Kb)
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Chapman University Announces Dr. Andrew Lyon as New Dean for Schmid College of Science and Technology
Houston Chronicle31 Jan 2014
Coming to Chapman from the Georgia Institute of Technology, Dr. Lyon begins his tenure as the third dean of the Schmid School on July 1, 2014. Orange, CA (PRWEB) January 30, 2014. Chapman University has appointed Dr. Andrew Lyon the new dean of the Schmid College of Science and Technology ... He replaces Dr ... Dr ... Lyon ... and Ph.D ... Earth Systems Modeling and Observation; Computation, Algebra and Topology; and Complex and Hyper Complex Analysis ... ###....(size: 4.0Kb)
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Chapman University announces Dr. Andrew Lyon as new dean for Schmid College of Science and Technology (Chapman University)
noodls23 Jan 2014
(Source. Chapman University). Chapman University has appointed Dr. Andrew Lyon the new dean of the Schmid College of Science and Technology. Coming to Chapman from the Georgia Institute of Technology, Dr. Lyon begins his tenure as the third dean of the Schmid School on July 1, 2014. He replaces Dr ... Dr. Lyon received his Ph.D ... Earth Systems Modeling and Observation; Computation, Algebra and Topology; and Complex and Hyper Complex Analysis ... ###....(size: 3.9Kb)
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$15 million gift from Harry and Diane Rinker will name Chapman University’s new Health Science campus in Irvine (Chapman University)
noodls09 Nov 2013
(Source. Chapman University). CONTACT (Gift).. Mary Platt. Director of Communications and Media Relations. Chapman University. 714-628-7271. platt@chapman.edu. CONTACT (Science).. Sheri Ledbetter. PR Specialist. Chapman University. 714-289-3143. sledbett@chapman.edu. ORANGE, Calif ... Doti ... degree in both basic and applied sciences ... Earth Systems Modeling and Observation; Computation, Algebra and Topology; and Complex and Hyper Complex Analysis ... (noodl....(size: 4.5Kb)
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Baffled by math? Professor aims to help audience figure it out (University of Nebraska Administration)
noodls07 Nov 2013
(Source. University of Nebraska Administration). WHEN. Thursday, Nov. 14, 2013 Lincoln, Neb., November 7th, 2013 - Mike Hopkins ... 14 public talk at the University of Nebraska-Lincoln ... How to Know the Answer in Advance" at 4.30 p.m ... He has focused his career on algebraic topology, a branch of mathematics that uses abstract algebra to study topological spaces. Part of algebraic topology is finding invariants ... Writer ... distributed by ... (noodl....(size: 4.2Kb)
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PNAS
29 Oct 2013
Drawing from algebraic topology, we present a unique evolutionary framework that comprehensively captures both clonal and reticulate evolution. We show that whereas clonal evolution can be summarized as a tree, reticulate evolution exhibits nontrivial topology of dimension greater than zero ... ....(size: 1.4Kb)
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Scoop
17 Oct 2013
“Topological Mapping of Unknown Environments using an Unlocalized Robotic Swarm” ... We employ tools from algebraic topology to extract spatial information of the environment based on neighbor to neighbor interactions among the biologically inspired agents with no need for localization data. This information is used to build a map of persistent topological features of the environment....(size: 4.1Kb)
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Algebraic topology is a branch of mathematics which uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariants that classify topological spaces up to homeomorphism, though usually most classify up to homotopy equivalence.
Although algebraic topology primarily uses algebra to study topological problems, using topology to solve algebraic problems is sometimes also possible. Algebraic topology, for example, allows for a convenient proof that any subgroup of a free group is again a free group.
An older name for the subject was combinatorial topology, implying an emphasis on how a space X was constructed from simpler ones[citation needed] (the modern standard tool for such construction is the CW-complex). The basic method now applied in algebraic topology is to investigate spaces via algebraic invariants by mapping them, for example, to groups which have a great deal of manageable structure in a way that respects the relation of homeomorphism (or more general homotopy) of spaces. This allows one to recast statements about topological spaces into statements about groups, which are often easier to prove.
This page contains text from Wikipedia, the Free Encyclopedia -
http://en.wikipedia.org/wiki/Algebraic_topology
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
