A map of topological spaces
is a homology
fibration if, for every , the natural map
from the fiber over to the homotopy fiber over
induces an isomorphism on homology groups. By a theorem of McDuff
and Segal, this is implied, for instance, by the condition that for
sufficiently small neighborhoods of , the inclusion
induces an isomorphism on homology.

Jeffrey Herschel Giansiracusa
2005-06-27