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quasi-isomorphism

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A quasi-isomorphism is a morphism between chain complexes which induces an isomorphism on homology. Quasi-isomorphisms are also called, more descriptively, homology isomorphisms or H *-isomorphisms. They are the weak equivalences in the most common model structures on chain complexes.

Revised on July 12, 2009 21:07:44 by Toby Bartels (71.104.230.172)
Edit | Back in time (2 revisions) | See changes | History | Views: Print | TeX | Source | Linked from: derived functor, Dold-Kan correspondence, twisting cochain, Waldhausen category, Categories and Sheaves, category of chain complexes, differential graded vector space, differential graded algebra, Grothendieck category, abelian sheaf cohomology, bar and cobar construction, Deligne cohomology, motivation for sheaves, cohomology and higher stacks, model structure on chain complexes, rational topological space, de Rham theorem, blob homology, model structure on dg-algebras, simplicial de Rham complex, Eilenberg-Zilber theorem, model structure on cosimplicial rings, homotopically injective object, formal dg-algebra, Sullivan model, rational homotopy theory in an (infinity,1)-topos, descent for L-infinity algebras, Kontsevich formality