Bonanzinga, Maddalena; Giacopello, Davide; Maesano, Fortunato(Universitat Politècnica de València, 2023-10-02)
[EN] In this paper we consider some recent relative versions of Menger property called set strongly star Menger and set star Menger properties and the corresponding Hurewicz-type properties. In particular, using [2], we ...
Chen-Mertens, William; Corral-Rojas, Cesar Ismael; Szeptycki, Paul J.(Universitat Politècnica de València, 2023-10-02)
[EN] We answer questions of Arhangel'skiĭ using spaces defined from combinatorial objects. We first establish further convergence properties of a space constructed from □ ( κ ) showing it is Fréchet-Urysohn for finite sets ...
Losert, Bernd; Richardson, Gary(Universitat Politècnica de València, 2023-10-02)
[EN] G-compactifications of continuous partial actions in the category of limit spaces are considered. In particular, sufficient conditions are given to ensure that (G, X, α) has a largest regular G-compactification.
[EN] In this paper, we prove the existence of fixed point results for set-valued mappings in Menger probabilistic metric spaces equipped with an amorphous binary relation and a Hadžić -type t-norm. For the usability of ...