quasi-isomorphism
Sign in to saveIn homological algebra, a branch of mathematics, a quasi-isomorphism or quism is a morphism A → B of chain complexes (respectively, cochain complexes) such that the induced morphisms
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It is catalogued under topics including Algebraic topology, Equivalence (mathematics) and Homological algebra.
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In homological algebra, a branch of mathematics, a quasi-isomorphism or quism is a morphism A → B of chain complexes (respectively, cochain complexes) such that the induced morphisms H_n(A_\bullet) \to H_n(B_\bullet)\ (\text{respectively, } H^n(A^\bullet) \to H^n(B^\bullet))
of homology groups (respectively, of cohomology groups) are isomorphisms for all n.
Excerpted from Wikipedia’s “quasi-isomorphism” article, available under the CC BY-SA 4.0 licence.