User:Bci2/Books/Higher Dimensional Algebra

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Higher Dimensional Algebra and Algebraic Topology with Biographies v.09
Version 9: 10 Mb, 298 pages; February 16th 2010, Copyright@2010 by Bci2
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Higher Dimensional Algebra and Algebraic Topology with Biographies v.09[edit]

Version 9: 10 Mb, 298 pages; February 16th 2010, Copyright@2010 by Bci2[edit]

Basic Concepts in Algebraic Topology
Algebraic topology
Nicolas Bourbaki
Algebra and Topology
Abstract algebra
Set (mathematics)
Binary operation
Function composition
Bijection
Associativity
Group (mathematics)
Group action
Field (mathematics)
Topology
Topological space
Vector space
Topological space
Crossed module
Fundamental group
Groupoids, Double Groupoids and Algebroids
Groupoid
Fundamental groupoid
2-groupoid
Double groupoids
Algebroids
R-algebroids
Crossed module
Functors
Fundamental groupoid
Seifert–van Kampen theorem
Lie groupoid
Lie algebroid
Chain complex
Homology
Homology theory
Homological algebra
Group cohomology
Quantum cohomology
Cohomology
Theory of Categories and Functors
Abstract algebra
Category theory
Category (mathematics)
Morphism
Isomorphism
Functors
Natural transformations
Samuel Eilenberg
Saunders MacLane
Charles Ehresmann
Barry Mitchell
Higher Category Theory and Categorical algebra
Categorical algebra
Functor category
Higher category theory
Categorical group
2-category
n-category
Colored graphs
Multicategory
Enriched category
Metamathematics
Metatheory
Metalogic
Metamathematics
Grothendieck's Programme
Esquisse d'un Programme
Grothendieck's Galois theory
Galois cohomology
Motivic cohomology
Local cohomology
Étale cohomology
Crystalline cohomology
Non-Abelian Algebraic Topology (Biographies)
Alexander Grothendieck
Jean Dieudonne
Ronald Brown (mathematician)
Charles Ehresmann
William Kingdon Clifford
Henri Cartan