2022/10/29 by Javier Casas-de la Rosa, la Rosa, Javier Casas-de, William Chen-Mertens +3
Decision Sciences · Mathematics · #54A35 (Secondary) #54D20 (Primary) #Advanced Banach Space Theory #Advanced Topology and Set Theory #FOS: Mathematics #Fuzzy and Soft Set Theory #General Topology (math.GN)
paper · pdf · doi:10.48550/arxiv.2210.16638
openalex publication_date 2022/10/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we investigate what selection principles properties are possessed by small (with respect to the bounding and dominating numbers) unions of spaces with certain (star) selection principles.. Furthermore, we give several results about iterations of these properties and weaker properties than paracompactness. In addition, we study the behaviour of these iterated properties on Ψ-spaces. Finally, we show that, consistently, there is a normal star-Menger space that is not strongly star-Menger.