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

Show full item record

SCOPUSTM   
Citations

2
checked on Nov 19, 2024

Page view(s)

18
checked on Nov 19, 2024

Google ScholarTM

Check

Altmetric

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.