## Geometry & Topology

### Manifolds with non-stable fundamental groups at infinity

Craig R Guilbault

#### Abstract

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 ($n≥7$). 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.

#### Article information

Source
Geom. Topol., Volume 4, Number 1 (2000), 537-579.

Dates
Revised: 8 December 2000
Accepted: 27 December 2000
First available in Project Euclid: 21 December 2017

https://projecteuclid.org/euclid.gt/1513883296

Digital Object Identifier
doi:10.2140/gt.2000.4.537

Mathematical Reviews number (MathSciNet)
MR1800296

Zentralblatt MATH identifier
0958.57023

#### Citation

Guilbault, Craig R. Manifolds with non-stable fundamental groups at infinity. Geom. Topol. 4 (2000), no. 1, 537--579. doi:10.2140/gt.2000.4.537. https://projecteuclid.org/euclid.gt/1513883296

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