12 citations · 24 across the 3 of their papers we have counts for
3 papers
math.GT2009★ 5 cited
Detecting codimension one manifold factors with topographical techniques
Denise M. Halverson, Dušan Repovš
We prove recognition theorems for codimension one manifold factors of dimension . In particular, we formalize topographical methods and introduce three ribbons properties…
math.GT2009★ 7 cited
Path concordances as detectors of codimension-one manifold factors
Robert J Daverman, Denise Halverson
We present a new property, the Disjoint Path Concordances Property, of an ENR homology manifold X which precisely characterizes when X times R has the Disjoint Disks Property. As a…
math.GT2008★ 12 cited
The Bing-Borsuk and the Busemann Conjectures
Denise M. Halverson, Dušan Repovš
We present two classical conjectures concerning the characterization of manifolds: the Bing Borsuk Conjecture asserts that every -dimensional homogeneous ANR is a topological $n…