Volume 9 (2006)

Download this article
For screen
For printing
Recent Volumes
Volume 1, 1998
Volume 2, 1999
Volume 3, 2000
Volume 4, 2002
Volume 5, 2002
Volume 6, 2003
Volume 7, 2004
Volume 8, 2006
Volume 9, 2006
Volume 10, 2007
Volume 11, 2007
Volume 12, 2007
Volume 13, 2008
Volume 14, 2008
Volume 15, 2008
Volume 16, 2009
Volume 17, 2011
Volume 18, 2012
Volume 19, 2015
The Series
MSP Books and Monographs
About this Series
Editorial Board
Ethics Statement
Author Index
Submission Guidelines
Author Copyright Form
Purchases
ISSN (electronic): 1464-8997
ISSN (print): 1464-8989
Other MSP Publications

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