192 citations · 3.7k across the 290 of their papers we have counts for
63 papers · 1 filter
Limits of manifolds in the Gromov-Hausdorff metric space
Friedrich Hegenbarth, Dušan D. Repovš
We apply the Gromov-Hausdorff metric for characterization of certain generalized manifolds. Previously, we have proved that with respect to the metric generalized -…
Free groups as end homogeneity groups of -manifolds
Dennis J. Garity, Dušan D. Repovš
For every finitely generated free group , we construct an irreducible open -manifold whose end set is homeomorphic to a Cantor set, and with the end homogeneity group o…
On the Browder-Levine-Novikov embedding theorems
M. Cencelj, D. Repovš, A. Skopenkov
In this survey we present applications of the ideas of complement and neighborhood in the theory embeddings of manifolds into Euclidean space (in codimension at least three). We de…
Controlled surgery and -homology
Friedrich Hegenbarth, Dušan Repovš
This paper presents an alternative approach to controlled surgery obstructions. The obstruction for a degree one normal map with control map $q: X^n \r…
The relationship of generalized manifolds to Poincaré duality complexes and topological manifolds
Friedrich Hegenbarth, Dušan Repovš
The primary purpose of this paper concerns the relation of (compact) generalized manifolds to finite Poincaré duality complexes (PD complexes). The problem is that an arbitrary gen…
Contractible 3-manifolds and the double 3-space property
Dennis J. Garity, Dušan D. Repovš, David G. Wright
Gabai showed that the Whitehead manifold is the union of two submanifolds each of which is homeomorphic to and whose intersection is again homeomorphic to $\mathbb R^…