Small MAD families whose Isbell--Mr\'owka space has pseudocompact hyperspace

DOI10.4064/FM657-10-2018zbMath1429.54020arXiv1806.01402OpenAlexW2805717126WikidataQ127768148 ScholiaQ127768148MaRDI QIDQ5226521

Vinicius Rodrigues, Artur Hideyuki Tomita

Publication date: 31 July 2019

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.01402

zbMATH Keywords

forcingpseudocompactnesshyperspacesMAD families

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Consistency and independence results in general topology (54A35) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80)

Related Items (2)

New examples of MAD families with pseudocompact hyperspaces ⋮ Maximal almost disjoint families and pseudocompactness of hyperspaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Small cardinals and the pseudocompactness of hyperspaces of subspaces of \(\beta\omega\)
• Set theory. An introduction to independence proofs
• Countable compactness of hyperspaces and Ginsburg's questions
• Pseudocompactness of hyperspaces
• Combinatorial Cardinal Characteristics of the Continuum
• Some Results on the Countable Compactness and Pseudocompactness of Hyperspaces
• Combinatorial Set Theory
• Topologies on Spaces of Subsets

This page was built for publication: Small MAD families whose Isbell--Mr\'owka space has pseudocompact hyperspace