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math.GN2023
Selective separability properties of Fréchet-Urysohn spaces and their products
Serhii Bardyla, Fortunato Maesano, Lyubomyr Zdomskyy
In this paper we study the behaviour of selective separability properties in the class of Frechét-Urysohn spaces. We present two examples, the first one given in ZFC proves the exi…
math.GN2023
Open filters and measurable cardinals
Serhii Bardyla, Jaroslav Supina, Lyubomyr Zdomskyy
In this paper, we investigate the poset of free open filters on a given space . In particular, we characterize spaces for which is a lattice. F…