Manifolds with non-stable fundamental groups, at infinity
几何拓扑
2014-11-11 v1
摘要
The notion of an open collar is generalized to that of a pseudo-collar. Important properties and examples are discussed. The main result gives conditions which guarantee the existence of a pseudo-collar structure on the end of an open n-manifold (n > 6). This paper may be viewed as a generalization of Siebenmann's famous collaring theorem to open manifolds with non-stable fundamental group systems at infinity.
引用
@article{arxiv.math/0101030,
title = {Manifolds with non-stable fundamental groups, at infinity},
author = {Craig R Guilbault},
journal= {arXiv preprint arXiv:math/0101030},
year = {2014}
}
备注
Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol4/paper19.abs.html