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Manifolds with non-stable fundamental groups at infinity, III

Craig R Guilbault, Frederick C Tinsley

math.GTarXiv:math/0505517

Abstract

We continue our study of ends non-compact manifolds. The over-arching aim is to provide an appropriate generalization of Siebenmann's famous collaring theorem that applies to manifolds having non-stable fundamental group systems at infinity. In this paper a primary goal is finally achieved; namely, a complete characterization of pseudo-collarability for manifolds of dimension at least 6.

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