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         Algebraic Topology:     more books (100)
  1. A Concise Course in Algebraic Topology (Chicago Lectures in Mathematics) by J. P. May, 1999-09-01
  2. Algebraic Topology by Allen Hatcher, 2001-11-15
  3. Algebraic Topology (Volume 0) by Edwin H. Spanier, 1994-12-06
  4. An Introduction to Algebraic Topology (Dover Books on Mathematics) by Andrew H. Wallace, 2007-02-27
  5. Algebraic Topology by C. R. F. Maunder, 1996-06-14
  6. A History of Algebraic and Differential Topology, 1900 - 1960 (Modern Birkhäuser Classics) by Jean Dieudonné, 2009-06-09
  7. Algebraic Topology by William Fulton, 1995-07-27
  8. Algebraic Topology: An Introduction (Graduate Texts in Mathematics) (v. 56) by William S. Massey, 1977-11-02
  9. Algebraic Topology (Colloquium Pbns. Series, Vol 27) by Solomon Lefschetz, Solomon Lefschetz, 1980
  10. Combinatorial Algebraic Topology (Algorithms and Computation in Mathematics) by Dimitry Kozlov, 2008-01-30
  11. Lectures on Algebraic Topology (Classics in Mathematics) by Albrecht Dold, A. Dold, 1995-02-15
  12. Elements Of Algebraic Topology by James R. Munkres, 1996-01-01
  13. Differential Forms in Algebraic Topology (Graduate Texts in Mathematics) by Raoul Bott, Loring W. Tu, 2010-11-02
  14. A basic course in algebraic topology (v. 127) by W.S. Massey, 1980-04-29

1. Algebraic Topology - Wikipedia, The Free Encyclopedia
Algebraic topology is a branch of mathematics which uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic
http://en.wikipedia.org/wiki/Algebraic_topology
Algebraic topology
From Wikipedia, the free encyclopedia Jump to: navigation search For the topology of pointwise convergence, see Algebraic topology (object) 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.
Contents
edit The method of algebraic invariants
An older name for the subject was combinatorial topology , implying an emphasis on how a space X was constructed from simpler ones (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

2. Algebraic Topology
Here are some notes for an introductory course on algebraic topology. The lectures are by John Baez, except for classes 24, which were taught by Derek Wise
http://math.ucr.edu/home/baez/algebraic_topology/
Algebraic Topology
John Baez, Mike Stay, Christopher Walker
Winter 2007
Here are some notes for an introductory course on algebraic topology. The lectures are by John Baez, except for classes 2-4, which were taught by Derek Wise. The lecture notes are by Mike Stay Homework assigned each week was due on Friday of the next week. You can read answers to these homework problems, written by Christopher Walker The course used this book:
  • James Munkres, Topology , 2nd edition, Prentice Hall, 1999.
So, theorem numbers match those in this book whenever possible, and it's best to read these notes along with the book. We deviate from Munkres at various points. We skip many sections, and we more emphasis on concepts from category theory, especially near the end of the course.
  • Class 1 (Jan. 5) - Sketch of how we'll use the fundamental group to prove there's no retraction from the disk to the circle. Class 2 is a functor. Class 3 (Jan. 10) - Change of basepoint. Simply-connected spaces. Covering spaces. Class 4 (Jan. 12) - Covering maps. Liftings.

3. Algebraic Topology - Definition
The method of algebraic invariants. The goal is to take topological spaces, and further categorize or classify them. An older name for the subject was combinatorial topology
http://www.wordiq.com/definition/Algebraic_topology
Algebraic topology - Definition
Algebraic topology is a branch of mathematics in which tools from abstract algebra are used to study topological spaces Contents showTocToggle("show","hide") 1 The method of algebraic invariants
2 Results on homology

3 Setting in category theory

4 The problems of algebraic topology
...
6 External links
The method of algebraic invariants
The goal is to take topological spaces, and further categorize or classify them. An older name for the subject was combinatorial topology , implying an emphasis on how a space X was constructed from simpler ones. The basic method now applied in algebraic topology is to investigate spaces via algebraic invariants: for example by mapping them to groups , which have a great deal of manageable structure, in a way that respects the relation of homeomorphism of spaces. Two major ways in which this can be done are through fundamental groups , or more general homotopy theory , and through homology and cohomology groups. The fundamental groups give us basic information about the structure of a topological space; but they are often nonabelian and can be difficult to work with. The fundamental group of a (finite)

4. Allen Hatcher
File Format PDF/Adobe Acrobat
http://www.comms.scitech.sussex.ac.uk/fft/math/Algebraic_Topology.pdf

5. CiteULike: Scis0000002's Algebraic_topology [7 Articles]
Oct 23, 2010 Recent papers added to Scis0000002 s library classified by the tag algebraic_topology. You can also see everyone s algebraic_topology.
http://www.citeulike.org/user/Scis0000002/tag/algebraic_topology

6. Algebraic_Topology.pdf - 4shared.com - Document Sharing - Download
Online file hosting and sharing 15 GB free to store and manage documents, adobe pdf files. Multiple document upload.
http://www.4shared.com/account/document/aVQju5ou/Algebraic_Topology.html

7. Geometric Group Theory | Mendeley
This book introduces the important ideas of algebraic topology emphasizing the relation of these ideas with other areas of mathematics.
http://www.mendeley.com/groups/493981/geometric-group-theory/papers/title/0/tag/
Create a new account or Sign in E-mail address Password Remember me Forgot your password? Search Research groups ... Mathematics › Geometric Group Theory
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Group papers tagged with "algebraic_topology"
Results of Algebraic Topology Edwin Henry Spanier Group , Volume: 27 (2002) This book introduces the important ideas of algebraic topology emphasizing the relation of these ideas with other areas of mathematics. Rather than choosing one point of view of modern topology (homotropy theory, axiomatic homology, or differential…

8. Algebraic_Topo - 5GB Of Free Space To Upload And Share Your
Nov 19, 2007 algebraic_topology eSnips, share anything. algebraic_topology.pdf. Views 44. Scribd. Rate From Geometry folder
http://www.esnips.com/doc/0eec8fc1-78a0-44bd-8fea-d48deb84d8d7/Algebraic_Topolog

9. MATH 795 Algebraic Topology Problem Set One SOLUTIONS Spring 2010
File Format PDF/Adobe Acrobat Quick View
http://math.hunter.cuny.edu/~thompson/algebraic_topology/problems1_solutions.pdf

10. IFile Search File List 171 - IFile Search Engine - Search Files Inside Ifile.it
Sep 24, 2010 kosniowski_a first course in algebraic topology.djvu. Updated 201009-24 1212 55 ifile.it/59_71A_B_2795C/franz-algebraic_topology.djvu
http://www.ifilesearch.net/filelist_171.html
iFileSearch Beta iFileSearch ifile.it Rapidshare.com Showing File List of , Also see
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11. EyA Recordings Of The ICTP Diploma Programme
Lectures on Algebraic Topology. A total of 20 hours was found for this topic. Complete list, in reverse chronological order (invert)
http://www.ictp.tv/diploma/search07-08.php?activityid=MTH&course=Algebraic_T

12. Math 501b Algebraic Topology - Problem Set 3
File Format PDF/Adobe Acrobat Quick View
http://jedidiah.stuff.gen.nz/math/Algebraic_Topology/problem_set3.pdf

13. Glossary: Algebraic Topology
Algebraic topology is a branch of topology in which one calculated invariants of a topological space which are algebraic structures, often groups.
http://www-groups.dcs.st-and.ac.uk/~history/Glossary/algebraic_topology.html
algebraic topology Algebraic topology is a branch of topology in which one calculated invariants of a topological space which are algebraic structures, often groups
For example, the fundamental group of a space is such an invariant as are homotopy groups and homology groups

14. Academia.edu | People Who Have Algebraic Topology As A Research Interest (48)
Academia.edu helps academics follow the latest research.
http://www.academia.edu/People/Algebraic_Topology
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Professor Johnny Golding
The University of Greenwich
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Following Professor Johnny's work means that, in your Academia.edu News Feed, you will see Professor Johnny's:
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15. Algebraic Topology - Rapidshare Search - Rapid4search.com
mihd.net/files/a3d66b960ccbd5bac6179ff3cfe2ab08/el3dz4 mihd password a+concise course_in+algebraic-topology=chicago edit del post comment
http://www.rapid4search.com/files/Algebraic_Topology
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16. Algebraic Topology - MA 4080
File Format PDF/Adobe Acrobat Quick View
http://www2.warwick.ac.uk/fac/sci/maths/postgrad/prospective/r_u_ready/self_eval

17. Science/Math/Topology/Algebraic Topology - Directory
Feb 21, 2008 Includes a brief history along with various links to textbooks, reference works, and tutorials on the subject; Algebraic Topology and
http://www.ouropenlinks.com/Science/Math/Topology/Algebraic_Topology
October 31, 2010, Sunday, 303 Navigation
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18. Research In Algebraic Topology
Geometry and Algebraic Topology play major roles throughout Mathematics and its applications, with geometric and topological ideas often being indispensable
http://www.maths.gla.ac.uk/research/groups/algebraic_topology/
Text only Department of Mathematics Home Research > Algebraic Topology Algebraic Topology Geometry and Algebraic Topology play major roles throughout Mathematics and its applications, with geometric and topological ideas often being indispensable.
Algebraic Topology has developed important machinery such as cohomology theories including ordinary cohomology, K -theory, cobordism and elliptic cohomology.
These are often of use in geometric situations, as well as within Algebraic
Topology; Algebraic Topologists tend to study much less `rigid' geometric
situations than other Geometers.There have also been significant interactions with many areas of Algebra, and indeed much of Algebraic Topology can be viewed as `applied algebra' as well as being a major source of innovative algebraic ideas. In the words of Hermann Weyl: ` In these days the angel of topology and the devil of abstract algebra fight for the soul of every individual discipline of mathematics Departmental research activity in Topology occurs in the following areas.

19. Category:Algebraic Topology - Wikimedia Commons
Nov 12, 2007 CategoryAlgebraic topology. From Wikimedia Commons, the free media repository. Jump to navigation, search. Franais Topologie algbrique
http://commons.wikimedia.org/wiki/Category:Algebraic_topology?uselang=nl/nl-nl/

20. Algebraic Topology - Rapidshare Search - Rapid4search.com
Lecture Notes in Algebraic Topology (Graduate Studies in Homology Theory An Introduction To Algebraic Topology Isbn0387941266.rar......
http://search.ccebook.net/algebraic_topology/page2/en
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