Copy For Citation
Soyarslan S., ÖNAL S.
Topology and its Applications, vol.332, 2023 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
332
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Publication Date:
2023
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Doi Number:
10.1016/j.topol.2023.108524
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Journal Name:
Topology and its Applications
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
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Keywords:
Lindelöf, Selection principle, Star-covering, Stone–Čech compactification
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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)?