Homotopy category of chain complexes

id: homotopy-category-of-chain-complexes-197-15853740
title: Homotopy category of chain complexes
text: In homological algebra in mathematics, the homotopy category K(A) of chain complexes in an additive category A is a framework for working with chain homotopies and homotopy equivalences. It lies intermediate between the category of chain complexes Kom(A) of A and the derived category D(A) of A when A is abelian; unlike the former it is a triangulated category, and unlike the latter its formation does not require that A is abelian. Philosophically, while D(A) turns into isomorphisms any maps of c
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original url: https://en.wikipedia.org/wiki/Homotopy_category_of_chain_complexes
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date modified: 2023-01-03T14:31:22Z
main entity: {"identifier":"Q1430845","url":"https://www.wikidata.org/entity/Q1430845"}
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