Topology and its Applications, vol.332, 2023 (SCI-Expanded)
Article / Article
Topology and its Applications
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
Lindelöf, Selection principle, Star-covering, Stone–Čech compactification
Middle East Technical University Affiliated:
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.  Does a weakly Lindelöf space have the property U1⁎(O,O)?  Is there a Tychonoff 1-star-Lindelöf space which does not have the property Ufin⁎(O,O)?