192 citations · 3.7k across the 290 of their papers we have counts for
8 papers · 1 filter
On the Menger covering property and -spaces
Dušan Repovš, Lyubomyr Zdomskyy
The main results of this note are: It is consistent that every subparacompact space of size is a -space; If there exists a Michael space, then all productively Lindelö…
On the length of chains of proper subgroups covering a topological group
Taras Banakh, Dušan Repovš, Lyubomyr Zdomskyy
We prove that if an ultrafilter L is not coherent to a Q-point, then each analytic non-sigma-bounded topological group G admits an increasing chain <G_a : a < b(L)> of its proper s…
On M-separability of countable spaces and function spaces
Dušan Repovš, Lyubomyr Zdomskyy
We study M-separability as well as some other combinatorial versions of separability. In particular, we show that the set-theoretic hypothesis b=d implies that the class of selecti…
Polyhedral approximations of strictly convex compacta
Maxim V. Balashov, Dušan Repovš
We consider polyhedral approximations of strictly convex compacta in finite dimensional Euclidean spaces (such compacta are also uniformly convex). We obtain the best possible esti…
Inclusion hyperspaces and capacities on Tychonoff spaces: functors and monads
Oleh Nykyforchyn, Dušan Repovš
The inclusion hyperspace functor, the capacity functor and monads for these functors have been extended from the category of compact Hausdorff spaces to the category of Tychonoff s…
Weakly convex sets and modulus of nonconvexity
Maxim V. Balashov, Dušan Repovš
We consider a definition of a weakly convex set which is a generalization of the notion of a weakly convex set in the sense of Vial and a proximally smooth set in the sense of Clar…