English

A weakly Lindel\"of space which does not have the property $^*\mathcal{U}_{fin}(\mathcal{O},\mathcal{O})$

General Topology 2022-12-08 v1

Abstract

We show that there exists a Tychono? weakly Lindel\"of space which does not have the property Ufin(O,O)^*\mathcal{U}_{fin}(\mathcal{O},\mathcal{O}). This result answers the following open questions. [2] Does a weakly Lindel\"of space have the property U1(O,O)^*\mathcal{U}_{1}(\mathcal{O},\mathcal{O})? [3] Is there a Tychono? 1-star-Lindel\"of space which does not have the property Ufin(O,O)^*\mathcal{U}_{fin}(\mathcal{O},\mathcal{O})?

Keywords

Cite

@article{arxiv.2212.03667,
  title  = {A weakly Lindel\"of space which does not have the property $^*\mathcal{U}_{fin}(\mathcal{O},\mathcal{O})$},
  author = {Servet Soyarslan and Süleyman Önal},
  journal= {arXiv preprint arXiv:2212.03667},
  year   = {2022}
}