User:Bci2/Books/Algebraic Topology
Algebraic Topology v.1
[edit]Algebraic Topology,Category Theory and Higher Dimensional Algebra
[edit]- Algebraic Topology
- Algebraic topology
- Topological space
- Group theory
- Group algebra
- Space group
- Groupoid
- Lie groupoid
- Fundamental group
- Homotopy
- Homology group
- Cohomology group
- K-theory
- Algebraic K-theory
- Topological K-theory
- Esquisse d'un Programme
- Higher dimensional algebra
- Colored graph
- Multicategory
- k-partite graph
- Important Theorems in Algebraic Topology;
- Borsuk-Ulam theorem
- Brouwer fixed point theorem
- Cellular approximation theorem
- Eilenberg–Zilber theorem
- Hurewicz theorem
- Kunneth theorem
- Poincaré duality theorem
- Universal coefficient theorem
- Van Kampen's theorem
- Whitehead's theorem
- List of publications in mathematics#Algebraic topology
- Metamathematics
- Category theories
- Category theory
- Categorical logic
- Category (mathematics)
- Abelian category
- Topos
- Heyting algebra
- Subobject classifier
- Generator
- Algebraic category
- Exact sequence
- Null object
- Pushout
- Pullback
- Limit Functor
- Colimit
- Yoneda lemma
- Functor
- Adjoint functor
- Representable functor
- Functor category
- Natural equivalence
- Natural transformation
- Dual (category theory)
- Isomorphism
- Semigroup
- Monoid
- Higher category theory