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Path concordances as detectors of codimension-one manifold factors

Robert J Daverman and Denise Halverson

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
Robert J Daverman
Department of Mathematics
University of Tennessee
Knoxville
Tennessee 37996-1300
USA
Denise Halverson
Department of Mathematics
Brigham Young University
Provo
Utah
84602
USA