Intersection homology and Poincar\'e duality on homotopically stratified spaces
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intersectionspacesdualityhomologyhomotopicallysheafstratifiedchains
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We show that intersection homology extends Poincare duality to manifold homotopically stratified spaces (satisfying mild restrictions). This includes showing that, on such spaces, the sheaf of singular intersection chains is quasi-isomorphic to the Deligne sheaf.
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