32 citations · 260 across the 75 of their papers we have counts for
6 papers · 2 filters
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 meager function spaces, network character and meager convergence in topological spaces
Taras Banakh, Volodymyr Mykhaylyuk, Lyubomyr Zdomskyy
For a non-isolated point of a topological space the network character is the smallest cardinality of a family of infinite subsets of such that each neighborho…
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…
Sequential properties of function spaces with the compact-open topology
Gary Gruenhage, Boaz Tsaban, Lyubomyr Zdomskyy
Let M be the countably infinite metric fan. We show that C_k(M,2) is sequential and contains a closed copy of Arens space S_2. It follows that if X is metrizable but not locally co…
Hereditarily Hurewicz spaces and Arhangel'skii sheaf amalgamations
Boaz Tsaban, Lyubomyr Zdomskyy
A classical theorem of Hurewicz characterizes spaces with the Hurewicz covering property as those having bounded continuous images in the Baire space. We give a similar characteriz…
A new Lindelof topological group
Dusan Repovs, Lyubomyr Zdomskyy
We show that the subsemigroup of the product of w_1-many circles generated by the L-space constructed by J. Moore is again an L-space. This leads to a new example of a Lindelof top…