Weaker forms of Menger-type properties in bitopology: Equivalences and games
Filomat, cilt.40, sa.4, ss.1423-1433, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 40 Sayı: 4
- Basım Tarihi: 2026
- Doi Numarası: 10.2298/fil2604423o
- Dergi Adı: Filomat
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
- Sayfa Sayıları: ss.1423-1433
- Anahtar Kelimeler: almost Menger property, bitopological space, Menger property, weakly Menger property
- Hacettepe Üniversitesi Adresli: Evet
Özet
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.