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arXiv · 2212.03667

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

Servet Soyarslan·Süleyman Önal
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Abstract

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 $^*\mathcal{U}_{fin}(\mathcal{O},\mathcal{O})$?

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Servet Soyarslan, Süleyman Önal. 2022-12-07. A weakly Lindel\"of space which does not have the property $^*\mathcal{U}_{fin}(\mathcal{O},\mathcal{O})$. https://arxiv.org/abs/2212.03667

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