The ENR homology-manifold realization conjecture for Poincaré duality groups

Let GG be a finitely presented Poincaré duality group. ENR homology-manifold realization conjecture. GG is the fundamental group of a closed aspherical ENR\operatorname{ENR} homology manifold. This is a weaker form of the conjecture asserting realization by a closed aspherical topological manifold, and concerns the existence of manifold-like ENR homology manifolds.

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Primary source

Steve Ferry, Wolfgang Lueck and Shmuel Weinberger, “On the stable Cannon Conjecture”, arXiv:1804.00738 (2019).

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