Stratified fibrations and the intersection homology of the regular neighborhoods of bottom strata
نویسنده
چکیده
In this paper, we develop Leray-Serre-type spectral sequences to compute the intersection homology of the regular neighborhood and deleted regular neighborhood of the bottom stratum of a stratified PL-pseudomanifold. The E2 terms of the spectral sequences are given by the homology of the bottom stratum with a local coefficient system whose stalks consist of the intersection homology modules of the link of this stratum (or the cone on this link). In the course of this program, we establish the properties of stratified fibrations over unfiltered base spaces and of their mapping cylinders. We also prove a folk theorem concerning the stratum-preserving homotopy invariance of intersection homology. 2000 Mathematics Subject Classification: Primary 55N33, 55R20; Secondary 57N80, 55T10
منابع مشابه
Intersection homology of stratified fibrations and neighborhoods
We derive spectral sequences for the intersection homology of stratified fibrations and approximate tubular neighborhoods in manifold stratified spaces. The neighborhoods include regular neighborhoods in PL stratified spaces. 2000 Mathematics Subject Classification: 55N33, 55R20 (Secondary: 57N80, 55R65)
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تاریخ انتشار 2003