192 citations · 3.7k across the 290 of their papers we have counts for
6 papers · 2 filters
The Geometry and Fundamental Groups of Solenoid Complements
G. R. Conner, M. H. Meilstrup, Dušan Repovš
When a solenoid is embedded in three space, its complement is an open three manifold. We discuss the geometry and fundamental groups of such manifolds, and show that the complement…
On Minc's sheltered middle path
Dušan Repovš, Witold Rosicki, Žiga Virk +1
This paper shows that a construction, which was introduced by Piotr Minc in connection with a problem that came from Helly type theorems and that allows to replace three PL-arcs wi…
On manifolds with nonhomogeneous factors
M. Cárdenas, F. F. Lasheras, A. Quintero +1
We present simple examples of finite-dimensional connected homogeneous spaces (they are actually topological manifolds) with nonhomogeneous and nonrigid factors. In particular, we…
On the homology of the Harmonic Archipelago
Umed H. Karimov, Dušan Repovš
We calculate the singular homology and Čech cohomology groups of the Harmonic archipelago. As a corollary, we prove that this space is not homotopy equivalent to the Griffiths spac…
On Murayama's theorem on extensor properties of G-spaces of given orbit types
Sergei Ageev, Dušan Repovš
We develop a method of extending actions of compact transformation groups which is then applied to the problem of preservation of equivariant extensor property by passing to a subs…
Survey on the Generalized R. L. Moore Problem
Denise M. Halverson, Dušan Repovš
We give an updated extended survey of results related to the celebrated unsolved generalized R. L. Moore problem. In particular, we address the problem of characterizing codimensio…