Special sets of reals and weak forms of normality on Isbell--Mrówka spaces

DOI10.14712/1213-7243.2023.014arXiv2112.09830OpenAlexW4388639247MaRDI QIDQ6178011

Paul J. Szeptycki, Victor dos Santos Ronchim, Vinicius Rodrigues

Publication date: 18 January 2024

Published in: Commentationes Mathematicae Universitatis Carolinae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.09830

zbMATH Keywords

normalityalmost disjoint familyIsbell-Mrówka spacealmost normality\(Q\)-set\(\sigma\)-setpseudonormality\(\lambda\)-setLusin familyalmost-normal Isbell-Mrówka space

Mathematics Subject Classification ID

Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Other combinatorial set theory (03E05) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80)

Cites Work

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• \(n\)-Luzin gaps
• Almost-normality of Isbell-Mrówka spaces
• On the length of Borel hierarchies
• Combinatorial Cardinal Characteristics of the Continuum
• On rectangles and countably generated families
• On Q Sets
• Dow’s Principle andQ-Sets
• A MAD Q-set
• Weak normality properties in ${\varPsi }$-spaces
• Topology of Mrówka-Isbell Spaces
• Internal cohen extensions

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