12 citations · 24 across the 3 of their papers we have counts for
4 papers · 1 filter
Locally -homogeneous Busemann -spaces
V. N. Berestovskiĭ, D. M. Halverson, D. Repovš
We present short proofs of all known topological properties of general Busemann -spaces (at present no other property is known for dimensions more than four). We prove that all…
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…
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…
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…