Gutev, Valentin(Universitat Politècnica de València, 2024-10-01)
[EN] If f is a continuous selection for the Vietoris hyperspace F (X) of the nonempty closed subsets of a space X, then the point f (X) ∈ X is not as arbitrary as it might seem at first glance. In this paper, we will ...
Caruvana, Christopher; Clontz, Steven; Holshouser, Jared(Universitat Politècnica de València, 2024-10-01)
[EN] We present a comprehensive report on the relationships between variations of the Menger and Rothberger selection properties with respect to w-covers and k-covers in the most general topological setting and address the ...
Maiti, Pallab; Sultana, Asrifa(Universitat Politècnica de València, 2024-10-01)
[EN] In this article, we establish that any uniformly local Mizoguchi-Takahashi contraction is actually a set-valued contraction due to Feng and Liu on a metrically convex complete metric space. Through an example, we ...
[EN] In this paper we provide some general results about topological spaces X satisfying any of the following properties: starn-P, weakly starn-P or almost starn-P, for P ∈ {κcc, WκL, dκcc}, where κ is an infinite cardinal ...
Nxumalo, Mbekezeli(Universitat Politècnica de València, 2024-10-01)
[EN] The aim of this paper is to study some variants of nowhere dense sublocales called maximal nowhere dense and homogeneous maximal nowhere dense sublocales. These concepts were initially introduced by Veksler in classical ...