Decompositions of Manifolds.
J. W. Cannon, Robert J. Daverman · American Mathematical Monthly · 1988
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.