Quasi-isomorphism
= Quasi-isomorphism
{title2=$H_n(f)\text{ is an isomorphism for every }n$}
{wiki}
= Quasi-isomorphic
{synonym}
A <chain map> inducing isomorphisms on all <homology groups>. The same definition applies to a map of <cochain complexes> using <cohomology groups>. A quasi-isomorphism need not be an isomorphism in each degree.