Higher Dimensional Algebra and Algebraic Topology v.06

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Copyright@2010 by Bci2

Algebraic Topology

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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

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Categorical algebra
Functor category
Higher category theory
Categorical group
2-category
n-category
Colored graphs
Multicategory
Enriched category
Metamathematics
Metatheory
Metalogic
Metamathematics

Biographies

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