arXiv subjects

Craig R Guilbault

Publications and source records attributed to Craig R Guilbault.

2 recordsLinked to original sources

arXiv2009

Manifolds with non-stable fundamental groups at infinity, III

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.

math.GT↗

arXiv2001

Manifolds with non-stable fundamental groups, at infinity

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.

math.GT↗