A weakly Lindelöf space which does not have the property Ufin⁎(O,O)

Soyarslan S., ÖNAL S.

Topology and its Applications, vol.332, 2023 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 332
  • Publication Date: 2023
  • Doi Number: 10.1016/j.topol.2023.108524
  • Journal Name: Topology and its Applications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Keywords: Lindelöf, Selection principle, Star-covering, Stone–Čech compactification
  • Middle East Technical University Affiliated: Yes

Abstract

We show that there exists a Tychonoff weakly Lindelöf space which does not have the property Ufin⁎(O,O). This result answers the following open questions. [2] Does a weakly Lindelöf space have the property U1⁎(O,O)? [3] Is there a Tychonoff 1-star-Lindelöf space which does not have the property Ufin⁎(O,O)?