A weakly Lindel\'of space which does not have the property $^*\mathcal{U}_{fin}(\mathcal{O},\mathcal{O})$
| Autor: | Soyarslan, Servet, Önal, Süleyman |
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| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We show that there exists a Tychono? weakly Lindel\"of space which does not have the property $^*\mathcal{U}_{fin}(\mathcal{O},\mathcal{O})$. This result answers the following open questions. [2] Does a weakly Lindel\"of space have the property $^*\mathcal{U}_{1}(\mathcal{O},\mathcal{O})$? [3] Is there a Tychono? 1-star-Lindel\"of space which does not have the property $^*\mathcal{U}_{fin}(\mathcal{O},\mathcal{O})$? |
| Databáze: | arXiv |
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