32 citations · 260 across the 75 of their papers we have counts for
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A homogeneous space whose complement is rigid
Andrea Medini, Jan van Mill, Lyubomyr Zdomskyy
We construct a homogeneous subspace of whose complement is dense in and rigid. Using the same method, assuming Martin's Axiom, we also construct a countable dense homog…
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…
Between Polish and completely Baire
Andrea Medini, Lyubomyr Zdomskyy
All spaces are assumed to be separable and metrizable. Consider the following properties of a space . (1) is Polish. (2) For every countable crowded there exi…
Productively Lindelöf spaces of countable tightness
Andrea Medini, Lyubomyr Zdomskyy
Michael asked whether every productively Lindelöf space is powerfully Lindelöf. Building of work of Alster and De la Vega, assuming the Continuum Hypothesis, we show that every pro…