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- Homotopy_category_of_chain_complexes abstract "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) makes isomorphisms of any maps of complexes that are quasi-isomorphisms in Kom(A), K(A) does so only for those that are quasi-isomorphisms for a "good reason", namely actually having an inverse up to homotopy equivalence. Thus, K(A) is more understandable than D(A).".
- Homotopy_category_of_chain_complexes thumbnail Chain_homotopy.svg?width=300.
- Homotopy_category_of_chain_complexes wikiPageID "10043801".
- Homotopy_category_of_chain_complexes wikiPageLength "5909".
- Homotopy_category_of_chain_complexes wikiPageOutDegree "25".
- Homotopy_category_of_chain_complexes wikiPageRevisionID "646834256".
- Homotopy_category_of_chain_complexes wikiPageWikiLink Abelian_category.
- Homotopy_category_of_chain_complexes wikiPageWikiLink Additive_category.
- Homotopy_category_of_chain_complexes wikiPageWikiLink Category:Homological_algebra.
- Homotopy_category_of_chain_complexes wikiPageWikiLink Chain_complex.
- Homotopy_category_of_chain_complexes wikiPageWikiLink Chain_complexes.
- Homotopy_category_of_chain_complexes wikiPageWikiLink Derived_category.
- Homotopy_category_of_chain_complexes wikiPageWikiLink Differential_graded_category.
- Homotopy_category_of_chain_complexes wikiPageWikiLink Homological_algebra.
- Homotopy_category_of_chain_complexes wikiPageWikiLink Homotopic.
- Homotopy_category_of_chain_complexes wikiPageWikiLink Homotopy.
- Homotopy_category_of_chain_complexes wikiPageWikiLink Mapping_cone_(homological_algebra).
- Homotopy_category_of_chain_complexes wikiPageWikiLink Mathematics.
- Homotopy_category_of_chain_complexes wikiPageWikiLink Quasi-isomorphism.
- Homotopy_category_of_chain_complexes wikiPageWikiLink Quotient.
- Homotopy_category_of_chain_complexes wikiPageWikiLink Singular_chain.
- Homotopy_category_of_chain_complexes wikiPageWikiLink Singular_homology.
- Homotopy_category_of_chain_complexes wikiPageWikiLink Springer-Verlag.
- Homotopy_category_of_chain_complexes wikiPageWikiLink Springer_Science+Business_Media.
- Homotopy_category_of_chain_complexes wikiPageWikiLink Topological_space.
- Homotopy_category_of_chain_complexes wikiPageWikiLink Triangulated_category.
- Homotopy_category_of_chain_complexes wikiPageWikiLink File:Chain_homotopy.svg.
- Homotopy_category_of_chain_complexes wikiPageWikiLinkText "Homotopy category of chain complexes".
- Homotopy_category_of_chain_complexes wikiPageWikiLinkText "chain-homotopic".
- Homotopy_category_of_chain_complexes wikiPageWikiLinkText "homotopy category of chain complexes".
- Homotopy_category_of_chain_complexes wikiPageWikiLinkText "homotopy category".
- Homotopy_category_of_chain_complexes hasPhotoCollection Homotopy_category_of_chain_complexes.
- Homotopy_category_of_chain_complexes wikiPageUsesTemplate Template:Citation.
- Homotopy_category_of_chain_complexes wikiPageUsesTemplate Template:Weibel_IHA.
- Homotopy_category_of_chain_complexes subject Category:Homological_algebra.
- Homotopy_category_of_chain_complexes hypernym Framework.
- Homotopy_category_of_chain_complexes type Software.
- Homotopy_category_of_chain_complexes comment "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.".
- Homotopy_category_of_chain_complexes label "Homotopy category of chain complexes".
- Homotopy_category_of_chain_complexes sameAs Kettenhomotopie.
- Homotopy_category_of_chain_complexes sameAs m.02p_ydr.
- Homotopy_category_of_chain_complexes sameAs Цепная_гомотопия.
- Homotopy_category_of_chain_complexes sameAs Q1430845.
- Homotopy_category_of_chain_complexes sameAs Q1430845.
- Homotopy_category_of_chain_complexes wasDerivedFrom Homotopy_category_of_chain_complexes?oldid=646834256.
- Homotopy_category_of_chain_complexes depiction Chain_homotopy.svg.
- Homotopy_category_of_chain_complexes isPrimaryTopicOf Homotopy_category_of_chain_complexes.