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Higher Dimensional Algebra and Algebraic Topology with Biographies v.09
editVersion 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