Definitions for quasi-isomorphism
quasi-iso·mor·phism

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1. Quasi-isomorphism

   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 ∙ ) → H n ( B ∙ ) ( respectively, H n ( A ∙ ) → H n ( B ∙ ) ) {\displaystyle 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. In the theory of model categories, quasi-isomorphisms are sometimes used as the class of weak equivalences when the objects of the category are chain or cochain complexes. This results in a homology-local theory, in the sense of Bousfield localization in homotopy theory.

How to pronounce quasi-isomorphism?

1. Alex

   US English

   David

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   Mark

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   Daniel

   British

   Libby

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   Mia

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   Karen

   Australian

   Hayley

   Australian

   Natasha

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   Neerja

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   Tessa

   South African

How to say quasi-isomorphism in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of quasi-isomorphism in Chaldean Numerology is: 3

2. Pythagorean Numerology

   The numerical value of quasi-isomorphism in Pythagorean Numerology is: 5

References

1. ^ Wikipedia
   https://en.wikipedia.org/wiki/Quasi-Isomorphism