On open 3-manifolds proper homotopy equivalent to geometrically-simply connected polyhedra
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🧮 math.GT
keywords
connectedequivalenthomotopyopenpropersimplygeneralizinggeometrically
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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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