2023/01/21 by Gabriel Fernandes, Fernandes, Gabriel, Guilherme Pinto +3
Computer Science · Decision Sciences · Mathematics · #54D10 #54D20 #54D45 #Advanced Algebra and Logic #Advanced Topology and Set Theory #FOS: Mathematics #Fuzzy and Soft Set Theory #General Topology (math.GN)
paper · pdf · doi:10.48550/arxiv.2301.08867
openalex publication_date 2023/01/21 · openalex created_date 2023/01/26 · openalex updated_date 2026/07/28
The results in this paper answer three questions asked by (NOBLE, 2019) and give a partial answer to a question asked by (ALSTER, 1988). We prove that every Alster space is totally Lindelof and this gives a new characterization of regular Alster spaces. We construct a non-regular totally Lindelof space that is not Alster and we prove that there exists a Lindelof P-space that is not Frolik.