
Algebraic Topology,Category Theory and Higher Dimensional Algebra v.4, Bci2

This user book is a user-generated collection of Wikipedia articles that can be easily saved, rendered electronically, and ordered as a printed book. If you are the creator of this book and need help, see Help:Books (general tips) and WikiProject Wikipedia-Books (questions and assistance).

Edit this book: Book Creator · Wikitext

Order a printed copy from: PediaPress

[ About ] [ Advanced ] [ FAQ ] [ Feedback ] [ Help ] [ WikiProject ] [ Recent Changes ]

WildBot has found potential problems with this book. Please check the talk page for a detailed explanation of what these might be and how to fix them. When these are resolved, you can remove |wildbot=yes from this template.

Algebraic Topology[edit]

Algebraic Topology,Category Theory and Higher Dimensional Algebra v.4, Bci2[edit]

Algebraic Topology: Algebraic topology; Topology; Glossary of topology; Open set; Closed set; Neighbourhood (mathematics); Neighbourhood system; Cover (topology); Continuous function (topology); Topological space; Tangent space; Hausdorff space; Vector space; Vector bundle; Hilbert space; Betti number; Euler characteristic; Chern class; Heine–Borel theorem; Algebra; Group theory; Group algebra; Space group; Grothendieck group; Presheaf (category theory); Sheaf (mathematics); Galois theory; Galois group; Galois cohomology; Grothendieck's Galois theory; Grothendieck topology; Groupoid; Lie algebra; Affine Lie algebra; Lie group; Lie groupoid; Lie algebroid; Fundamental group; Homotopy; Homology theory; Homology group; Homological algebra; Cohomology theory; Cohomology group; Crystalline cohomology; De Rham cohomology; K-theory; Algebraic K-theory; Topological K-theory; Esquisse d'un Programme

Higher Dimensional Algebra and Supercategories: Higher dimensional algebra; Higher category theory; Colored graph; Multicategory; List of algebraic topology topics

Important Theorems in Algebraic Topology: Baire category theorem; Borsuk-Ulam theorem; Brouwer fixed point theorem; Cellular approximation theorem; Hairy ball theorem; Hurewicz theorem; Kunneth theorem; Universal coefficient theorem; Seifert–van Kampen theorem; Whitehead theorem; Noncommutative geometry; List of publications in mathematics; Metamathematics

Category theories: Category theory; Categorical logic; Algebraic logic; Categorical algebra; Category (mathematics); Abelian category; Topos; Heyting algebra; Subobject classifier; Isomorphism; Semigroup; Monoid; Generator; Algebraic category; Exact sequence; Null object; Pushout (category theory); Pullback; Limit Functor; Colimit Functor; Yoneda lemma; Functor; Adjoint functors; Representable functor; Mitchell's embedding theorem; Functor category; Natural equivalence; Natural transformation; Dual (category theory); Domain theory; Enriched category theory; Topos; Descent (category theory); Stack (descent theory); Tetracategory; Timeline of category theory and related mathematics