English

Manifolds with non-stable fundamental groups at infinity, III

Geometric Topology 2009-03-03 v2

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.

Keywords

Cite

@article{arxiv.math/0505517,
  title  = {Manifolds with non-stable fundamental groups at infinity, III},
  author = {Craig R Guilbault and Frederick C Tinsley},
  journal= {arXiv preprint arXiv:math/0505517},
  year   = {2009}
}

Comments

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

R2 v1 2026-07-22T17:19:49.384Z