User:Bci2/Books/Higher Dimensional Algebra

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

 * 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