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

Soyarslan S., ÖNAL S.

Topology and its Applications, cilt.332, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 332
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1016/j.topol.2023.108524
  • Dergi Adı: Topology and its Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Anahtar Kelimeler: Lindelöf, Selection principle, Star-covering, Stone–Čech compactification
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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)?