4 papers · 1 filter
Local and global properties of spaces of minimal usco maps
Serhii Bardyla, Branislav Novotný, Jaroslav Šupina
In this paper, we study an interplay between local and global properties of spaces of minimal usco maps equipped with the topology of uniform convergence on compact sets. In partic…
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…
On P-like ideals induced by disjoint families
Adam Marton, Jaroslav Supina
We consider a combinatorial property isolated in the field of ideal convergence, a P-property for two ideals on natural numbers. We show that among selected ideals induced by disjo…
Ideal approach to convergence in functional spaces
Serhii Bardyla, Jaroslav Supina, Lyubomyr Zdomskyy
We solve the last standing open problem from the seminal paper by J. Gerlits and Zs. Nagy, which was later reposed by A. Miller, T. Orenshtein and B. Tsaban. Namely, we show that u…