192 citations · 3.7k across the 290 of their papers we have counts for
6 papers · 2 filters
Sequential rectifiable spaces of countable -character
Taras Banakh, Dusan Repovs
We prove that each non-metrizable sequential rectifiable space of countable -character contains a clopen rectifiable submetrizable -subspace and admits an open d…
Classifying homogeneous cellular ordinal balleans up to coarse equivalence
Taras Banakh, Igor Protasov, Dusan Repovs +1
For every ballean we introduce two cardinal characteristics and describing the capacity of balls in . We observe that these cardinal character…
Classifying homogeneous ultrametric spaces up to coarse equivalence
Taras Banakh, Dušan Repovš
For every metric space we introduce two cardinal characteristics and describing the capacity of balls in . We prove that the…
Productively Lindelöf spaces and the covering property of Hurewicz
Dušan Repovš, Lyubomyr Zdomskyy
We prove that under certain set-theoretic assumptions every productively Lindelöf space has the Hurewicz covering property, thus improving upon some earlier results of Aurichi and…
Countable dense homogeneous filters and the Menger covering property
Dušan Repovš, Lyubomyr Zdomskyy, Shuguo Zhang
In this note we present a ZFC construction of a non-meager filter which fails to be countable dense homogeneous. This answers a question of Hernández-Gutiérrez and Hrušák. The meth…
Continuous selections of multivalued mappings
Dušan Repovš, Pavel V. Semenov
This survey covers in our opinion the most important results in the theory of continuous selections of multivalued mappings (approximately) from 2002 through 2012. It extends and c…