A weakly Lindelöf space which does not have the property ^*U_fin(O,O)

2022/12/07 by Servet Soyarslan, Soyarslan, Servet, Süleyman Önal +1
Mathematics · #Advanced Topics in Algebra #Advanced Topology and Set Theory #FOS: Mathematics #General Topology (math.GN) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2212.03667

openalex publication_date 2022/12/07 · openalex created_date 2022/12/21 · openalex updated_date 2026/07/28

Abstract

We show that there exists a Tychono? weakly Lindelöf space which does not have the property ^*U_fin(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 Tychono? 1-star-Lindelöf space which does not have the property ^*U_fin(O,O)?

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