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Path concordances as detectors of codimension-one manifold
factors
Robert J Daverman and Denise Halverson
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Geometry & Topology Monographs 9
(2006) 7–15
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Abstract
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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.
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Keywords
Disjoint Disks Property, Disjoint
Homotopies Property, concordance, manifold factor, homology
manifold, resolvable, Disjoint Arcs Property
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Mathematical Subject Classification
Primary: 57N15, 57P05
Secondary: 54B15, 57N70, 57N75
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Publication
Received: 13 August 2003
Accepted: 13 August 2003
Published: 22 April 2006
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