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(Top) 1 Algebraic Topology v.1 1.1 Algebraic Topology,Category Theory and Higher Dimensional Algebra

User:Bci2/Books/Algebraic Topology

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Algebraic Topology v.1[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

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