Authors: | Guzmán, O. Hrušák, M. Rodrigues, V. O. Todorčević, Stevo Tomita, A. H. |
Title: | Maximal almost disjoint families and pseudocompactness of hyperspaces | Journal: | Topology and its Applications | Volume: | 305 | First page: | 107872 | Issue Date: | 1-Jan-2022 | Rank: | ~M23 | ISSN: | 0166-8641 | DOI: | 10.1016/j.topol.2021.107872 | Abstract: | We show that all Ψ-spaces associated to maximal almost disjoint families have pseudocompact Vietoris hyperspace if and only if MAc(P(ω)/fin) holds. We further study the question whether there is a maximal almost disjoint family whose hyperspace is pseudocompact and construct a consistent example of a maximal almost disjoint family of size ω2 |
Keywords: | Almost disjoint family | Pseudocompact space | Vietoris hyperspace | Publisher: | Elsevier |
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