Let f : X ⟶ Y be a map between two spaces for which Y is stratified such that f is a fibration over each open stratum. We find some spectral sequences to compote the homology of X in terms of the homology of Y and that of the fibers. We apply this to give a Lefschetz theorem for the degeneracy loci of a morphism between holomorphic bundles on a complex manifold.
@article{1678,
title = {Leray-Serre Spectral Sequence for Quasi-Fibrations},
journal = {CUBO, A Mathematical Journal},
volume = {5},
year = {2003},
language = {en},
url = {http://dml.mathdoc.fr/item/1678}
}
Muñoz, Vicente. Leray-Serre Spectral Sequence for Quasi-Fibrations. CUBO, A Mathematical Journal, Tome 5 (2003) . http://gdmltest.u-ga.fr/item/1678/