On open 3-manifolds proper homotopy equivalent to geometrically-simply connected polyhedra

Mathematics – Geometric Topology

Scientific paper

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revised version, 11 pages, Topology Appl. (to appear)

Scientific paper

We prove that an open 3-manifold proper homotopy equivalent to a
geometrically simply connected polyhedron is simply connected at infinity,
generalizing a theorem of V.Poenaru.

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