Weaker forms of Menger-type properties in bitopology: Equivalences and games

ÖZÇAĞ S.

Filomat, vol.40, no.4, pp.1423-1433, 2026 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 40 Issue: 4
  • Publication Date: 2026
  • Doi Number: 10.2298/fil2604423o
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Page Numbers: pp.1423-1433
  • Keywords: almost Menger property, bitopological space, Menger property, weakly Menger property
  • Hacettepe University Affiliated: Yes

Abstract

This paper contributes to the recent researches on weaker forms of the Menger property in bitopological spaces. It carries on the investigation deeper in this area, examining various equivalent conditions and present game-theoretic observations related to weaker forms of the Menger-type properties. Furthermore we define a new type of Menger property, nearly Mengerness and discuss its properties with in the context of bitopological spaces.