192 citations · 3.7k across the 290 of their papers we have counts for
7 papers · 2 filters
On small homotopies of loops
G. Conner, M. Meilstrup, D. Repovš +2
Two natural questions are answered in the negative: (1) If a space has the property that small nulhomotopic loops bound small nulhomotopies, then are loops which are limits of nulh…
Groups which are not properly 3-realizable
Louis Funar, Francisco F. Lasheras, Dusan Repovs
A group is properly 3-realizable if it is the fundamental group of a compact polyhedron whose universal covering is proper homotopically equivalent to some 3-manifold. We prove tha…
A construction of noncontractible simply connected cell-like two dimensional Peano continua
Katsuya Eda, Umed H. Karimov, Dušan Repovš
Using the topologist sine curve we present a new functorial construction of cone-like spaces, starting in the category of all path-connected topological spaces with a base point an…
Classification of framed links in 3-manifolds
M. Cencelj, D. Repovš, M. Skopenkov
We present a short proof of the following Pontryagin theorem, whose original proof was complicated and has never been published in details: {\bf Theorem.} Let be a connected or…
Embeddability of multiple cones
Dušan Repovš, Witold Rosicki, Andreas Zastrow +1
The main result of this paper is that if is a Peano continuum such that its -th cone embeds into $\RR^{n+2}$ then embeds into . This solves a problem propo…
On the fundamental group of modulo the Case-Chamberlin continuum
K. Eda, U. H. Karimov, D. Repovš
It has been known for a long time that the fundamental group of the quotient of $\RR ^3$ by the Case-Chamberlin continuum is nontrivial. In the present paper we prove that this gro…