Investigations on weak versions of the alster property in bitopological spaces and selection principles

EYSEN A. E., ÖZÇAĞ S.

Filomat, vol.33, no.14, pp.4561-4571, 2019 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 33 Issue: 14
  • Publication Date: 2019
  • Doi Number: 10.2298/fil1914561e
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.4561-4571
  • Keywords: Almost (weakly) Menger, Almost Alster property, Bitopological space, Productively almost (weakly) Lindelöf, Selection principle, Weakly Lindelöf
  • Trakya University Affiliated: No

Abstract

We investigate the relationships among the weaker forms of the properties “Menger”, “Alster” and “Lindelöf” in bitopological spaces. We give some counterexamples to show the differences between these properties. Further we introduce the weak versions of the Alster property in terms of selection principles and obtain some of their topological properties.