Introducing selective d-separability in bitopological spaces
TURKISH JOURNAL OF MATHEMATICS, vol.46, no.6, pp.2109-2120, 2022 (SCI-Expanded, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 46 Issue: 6
- Publication Date: 2022
- Doi Number: 10.55730/1300-0098.3257
- Journal Name: TURKISH JOURNAL OF MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
- Page Numbers: pp.2109-2120
- Keywords: Selection principles, bitopological space, D-separability, selective separability, VERSIONS, GAMES
- Open Archive Collection: AVESIS Open Access Collection
- Hacettepe University Affiliated: Yes
Abstract
We introduce D-separability and its game-theoretic version, D+-separability in bitopological spaces, and investigate their relationships with d-separability and a weaker form of H-separability which will be called DH-separability. Further we give the connection of these notions with the selective versions of separability-types properties under the bitopological context. We also obtain some results about the d-separability properties of bitopological spaces which are slightly different from those one expects for the classical case