Rodrigues, V. O.
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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