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By a theorem of Banagl-Chriestenson, intersection spaces of depth onepseudomanifolds exhibit generalized Poincar\'{e} duality of Betti numbers,provided that certain characteristic classes of the link bundles vanish. Inthis paper, we show that the middle-perversity intersection space of a depthone Witt space can be completed to a rational Poincar\'{e} duality space bymeans of a single cell attachment, provided that a certain rational Hurewiczhomomorphism associated to the link bundles is surjective. Our approachcontinues previous work of Klimczak covering the case of isolated singularitieswith simply connected links. For every singular stratum, we show that ourcondition on the rational Hurewicz homomorphism implies that theBanagl-Chriestenson characteristic classes of the link bundle vanish. Moreover,using Sullivan minimal models, we show that the converse implication holds atleast in the case that twice the dimension of the singular stratum is boundedby the dimension of the link. As an application, we compare the signature ofour rational Poincar\'{e} duality space to the Goresky-MacPherson intersectionhomology signature of the given Witt space. We discuss our results for a classof Witt spaces having circles as their singular strata.

A fundamental class for intersection spaces of depth one Witt spaces