Singh, Sumit(Universitat Politècnica de València, 2022-10-03)
[EN] A space X is said to be set star-Lindelöf if for each nonempty subset A of X and each collection U of open sets in X such that A ⊆ SU, there
is a countable subset V of U such that A ⊆ St(SV, U). The class of set ...
Bayih, Tilahun; Dube, Themba; Ighedo, Oghenetega(Universitat Politècnica de València, 2021-04-01)
[EN] The Menger and the almost Menger properties are extended to locales. Regarding the former, the extension is conservative (meaning that a space is Menger if and only if it is Menger as a locale), and the latter is ...
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 ...