Variations of classical selection principles: An overview

Investigations onweak versions of the Alster property in bitopological spaces and selection principles

“…For undefined notions regarding selection principles in topological spaces we refer the reader to the papers [12,20,21,27,30]. The readers may find the most recent results on weak forms of classical selection principles of Menger, Hurewicz and Rothberger properties in the survey paper by Kočinac in [22].…”

On Menger Spaces in Generalized Topology

“…A topological space is called Menger (or has Menger property) if for each sequence of open covers of , there is a sequence such that is a finite subset of for each and is an open cover of . Further details on selection principles can be found in (Kočinac, 2020) and (Scheepers, 1996) and references therein.…”

Nearly Soft Menger Spaces

“…e papers [3,4] carried out a systematic study of selection principles in topology and then research in this field expanded immensely and attracted many researchers (see survey papers [5][6][7] and references therein). Some types of selection principles (so-called weak selection principles) have been formulated by applying the interior and closure operators in the definition of a selection property (see [8][9][10][11][12][13][14][15][16][17][18][19][20][21]) and the other types have been explored by replacing sequences of open covers by sequences of covers by some generalized open sets (see [22][23][24]). In this paper, we apply the ideas from selection principles theory to soft topological spaces.…”