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
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.
YouTube Encyclopedic
-
1/3Views:8 0841 7712 066
-
"Graph Isomorphism in Quasipolynomial Time I" Seminar Lecture by László Babai on November 10, 2015
-
Graph isomorphism in quasipolynomial time - László Babai
-
Check if two binary trees are Isomorphic
Transcription
See also
References
- Gelfand, Sergei I., Manin, Yuri I. Methods of Homological Algebra, 2nd ed. Springer, 2000.