Geometry & Topology Monographs 9 (2006) 7–15

DOI: 10.2140/gtm.2006.9.7

arXiv: 0903.3055

Abstract

We present a new property, the Disjoint Path Concordances Property, of an ENR homology manifold X which precisely characterizes when X×R has the Disjoint Disks Property. As a consequence, X×R is a manifold if and only if X is resolvable and it possesses this Disjoint Path Concordances Property.

Keywords

Disjoint Disks Property, Disjoint Homotopies Property, concordance, manifold factor, homology manifold, resolvable, Disjoint Arcs Property

Mathematical Subject Classification

Primary: 57N15, 57P05

Secondary: 54B15, 57N70, 57N75

References

Publication

Received: 13 August 2003
Accepted: 13 August 2003
Published: 22 April 2006

Authors