32 citations · 260 across the 75 of their papers we have counts for
84 papers
Combinatorial covering properties in an uncountable setting: canonical examples
Ayelet Amsalem, Adi Jarden, Michał Pawlikowski +3
We provide examples of spaces satisfying generalized combinatorial covering properties such as the Hurewicz, Menger, and -properties in an uncountable setting. Our approach is m…
A small Banach space without nice renormings
Todor Manev, Damian Sobota, Lyubomyr Zdomskyy
We prove that consistently and there exists a compact space whose Banach space of continuous real-valued functions is Grothendieck, has density ,…
Productively Scheepers spaces and their relatives
Marta Kładź-Duda, Piotr Szewczak, Lyubomyr Zdomskyy
We prove that assuming , in the class of hereditarily Lindelöf spaces, each productively Scheepers space is productively Hurewicz. The above statement re…
Universally meager sets in the Miller model and similar ones
Valentin Haberl, Piotr Szewczak, Lyubomyr Zdomskyy
We work in the realm of sets of reals. We prove that in the Miller model and in a model constructed by Goldstern-Judah-Shelah all universally meager sets have size at most . S…
Concentrated sets and the Hurewicz property
Valentin Haberl, Piotr Szewczak, Lyubomyr Zdomskyy
A set of reals is -concentrated if it has cardinality at least and it contains a countable set such that each closed subset of d…
A density counterpart of the Scheepers covering property
Leandro Aurichi, Fortunato Maesano, Lyubomyr Zdomskyy
We introduce a density counterpart of the Scheepers covering property and study its relations to known combinatorial density property. In par…