Leray-Serre Spectral Sequence for Quasi-Fibrations

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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.

Keywords

singular homology , homotopy , spectral sequence , Lefschetz theorem
  • Vicente Muñoz Departamento de Matemáticas, Facultad de Ciencia, Universidad Autónoma de Madrid, 28049 Madrid, Spain.
  • Pages: 292–305
  • Date Published: 2003-10-01
  • Vol. 5 No. 3 (2003): CUBO, Matemática Educacional

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Published

2003-10-01

How to Cite

[1]
V. Muñoz, “Leray-Serre Spectral Sequence for Quasi-Fibrations”, CUBO, vol. 5, no. 3, pp. 292–305, Oct. 2003.

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