6 papers
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…
Conditional Aggregation-Based Choquet Integral as a Choquet Integral on a Hyperspace
Jana Borzová, Lenka Halčinová, Jaroslav Šupina
We aim at representing the recently introduced conditional aggregation-based Choquet integral as a standard Choquet integral on a hyperset. The representation is one of transformat…
Conditional aggregation-based Choquet integral on discrete space
Stanislav Basarik, Jana Borzová, Lenka Halčinová +1
We derive computational formulas for the generalized Choquet integral based on the novel survival function introduced by M. Boczek et al. [1]. We demonstrate its usefulness on the…
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…