Leray-Serre Spectral Sequence for Quasi-Fibrations

  • Vicente Muñoz Departamento de Matemáticas, Facultad de Ciencia, Universidad Autónoma de Madrid, 28049 Madrid, Spain.
Keywords: singular homology, homotopy, spectral sequence, Lefschetz theorem

Abstract

Let : 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.

Published
2003-10-01
How to Cite
Muñoz, V. (2003). Leray-Serre Spectral Sequence for Quasi-Fibrations. CUBO, A Mathematical Journal, 5(3), 292–305. Retrieved from http://revistas.ufro.cl/ojs/index.php/cubo/article/view/1678