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[KS77] R · 1977 · arXiv 2510.24629

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Homology manifolds via six functor formalisms

math.AT · 2026-06-30 · unverdicted · novelty 7.0

Using six functor formalisms, the authors prove that hypercomplete locally compact ANR homology manifolds are cohomologically smooth, that compact ANR homology manifolds are Poincaré duality complexes with Spivak tangent fibration as dualizing sheaf, introduce homotopy manifolds, and show that homot

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  • Homology manifolds via six functor formalisms math.AT · 2026-06-30 · unverdicted · none · ref 10

    Using six functor formalisms, the authors prove that hypercomplete locally compact ANR homology manifolds are cohomologically smooth, that compact ANR homology manifolds are Poincaré duality complexes with Spivak tangent fibration as dualizing sheaf, introduce homotopy manifolds, and show that homot