Manifolds with non-stable fundamental groups at infinity, III

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.

This is the version published by Geometry & Topology on 27 April 2006

References in corpus (2)

• Manifolds with non-stable fundamental groups, at infinity
• Manifolds with non-stable fundamental groups at infinity, II

Cited by in corpus (7)

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• Noncompact manifolds that are inward tame
• Homology equivalences of manifolds and zero-in-the-spectrum examples
• $\mathcal{Z}$-compactifiable manifolds which are not pseudo-collarable
• More Examples of Pseudo-Collars on High-Dimensional Manifolds