User:Bci2/Books/HDA5
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Higher Dimensional Algebra and Algebraic Topology v.06
[edit]- Copyright@2010 by Bci2
Algebraic Topology
[edit]- 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
[edit]- Categorical algebra
- Functor category
- Higher category theory
- Categorical group
- 2-category
- n-category
- Colored graphs
- Multicategory
- Enriched category
- Metamathematics
- Metatheory
- Metalogic
- Metamathematics
Biographies
[edit]- Grothendieck's Programme
- Esquisse d'un Programme
- Grothendieck's Galois theory
- Ronald Brown (mathematician)