Geometry & Topology
- Geom. Topol.
- Volume 4, Number 1 (2000), 537-579.
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 –manifold (). 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.
Geom. Topol., Volume 4, Number 1 (2000), 537-579.
Received: 30 July 1999
Revised: 8 December 2000
Accepted: 27 December 2000
First available in Project Euclid: 21 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 57N15: Topology of $E^n$ , $n$-manifolds ($4 \less n \less \infty$) 57Q12: Wall finiteness obstruction for CW-complexes
Secondary: 57R65: Surgery and handlebodies 57Q10: Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. [See also 19B28]
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