Homologies of Intersections of Pseudomanifolds with Local Homotopic Conditions on Links of Strata

Author: Plakhta L.P.  

Publisher: Springer Publishing Company

ISSN: 1536-0059

Source: Nonlinear Oscillations, Vol.6, Iss.4, 2003-10, pp. : 463-468

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Abstract

In terms of local homotopic properties of the links of strata of an n-dimensional PL-pseudomanifold X, we obtain a sufficient condition for the natural homomorphisms IH_jˆ{\bar{0}}(X)\to IH_jˆ{\bar{p}}(X) of the jth intersection homology groups with perversity multiindices \bar{0} and \bar{p} to be isomorphisms for all j le i, where i < n - 3.