The uniqueness of homology for the category of small categories

DOI10.1016/0022-4049(77)90068-8zbMath0363.18008OpenAlexW2091100074MaRDI QIDQ1240296

Dana May Latch

Publication date: 1977

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(77)90068-8

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Resolutions; derived functors (category-theoretic aspects) (18G10) Axioms for homology theory and uniqueness theorems in algebraic topology (55N40) Homological algebra in category theory, derived categories and functors (18G99) Functor categories, comma categories (18A25)

Related Items (14)

A Thomason model structure on the category of small \(n\)-fold categories ⋮ Thomason cohomology of categories ⋮ Unnamed Item ⋮ Closed categories, lax limits and homotopy limits ⋮ A characterization of simplicial localization functors and a discussion of DK equivalences ⋮ Estimates of the solutions of linear systems with delay ⋮ Homotopy inverses for nerve ⋮ Unnamed Item ⋮ Gabriel-Zisman cohomology and spectral sequences ⋮ A fibred homotopy equivalence and homology theories for the category of small categories ⋮ Simplicial sets from categories ⋮ Homotopy equivalence of coverings and the spectral sequence of a fibration ⋮ Homotopy inverses for nerve ⋮ Association schemoids and their categories

Cites Work

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• On axiomatic homology theory
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• Sur les limites projectives et inductives
• Stacks, Costacks and Axiomatic Homology
• Completions in Abstract Homotopy Theory
• Homotopy for Functors
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