User:Bci2/Books/HDA5

Higher Dimensional Algebra and Algebraic Topology v.06

 * Copyright@2010 by Bci2

Algebraic Topology

 * Algebra and Topology
 * Abstract algebra
 * Set (mathematics)
 * Binary operation
 * Function composition
 * Bijection
 * Associativity
 * Group (mathematics)
 * Group action
 * Field (mathematics)
 * Topology
 * Topological space
 * Vector space


 * Groupoids and Double Groupoids
 * Groupoid
 * 2-groupoid
 * Double groupoids


 * Algebraic Topology
 * Crossed module
 * Fundamental groupoid
 * Seifert–van Kampen theorem
 * Lie groupoid
 * Lie algebroid
 * R-algebroid
 * Chain complex
 * Homology
 * Homology theory
 * Homological algebra
 * Group cohomology
 * Cohomology


 * Theory of Categories
 * Category theory
 * Category (mathematics)
 * Morphism
 * Isomorphism
 * Functor
 * Natural transformation

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

Biographies

 * Alexander Grothendieck


 * Grothendieck's Programme
 * Esquisse d'un Programme
 * Grothendieck's Galois theory
 * Ronald Brown (mathematician)