A fundamental class for intersection spaces of depth one Witt spaces (Q2049525)

A closed oriented Whitney stratified normal Witt space is a space \(X\) on which the middle-perversity intersection chain sheaf IC \(X\) is self-dual. This paper shows that for a depth one Witt space the middle-perversity intersection space can be completed to a rational Poincaré duality space by the addition of as single cell provided that a rational Hurewicz homomorphism associated to the link bundles of the stratification is surjective. The paper is essentially self contained and provides a detailed example using Witt spaces whose singular strata are circles.