A perfectly normal nonrealcompact space consistent with MA\(_{\aleph_1}\)

DOI10.1016/j.topol.2004.02.014zbMath1059.54006OpenAlexW2102022436MaRDI QIDQ1880715

Fernando Hernández-Hernández, Tetsuya Ishiu

Publication date: 1 October 2004

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2004.02.014

zbMATH Keywords

realcompactperfectly normalMartin's Axiomguessing principles

Mathematics Subject Classification ID

Consistency and independence results (03E35) Realcompactness and realcompactification (54D60) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Counterexamples in general topology (54G20) Consistency and independence results in general topology (54A35) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80)

Related Items (4)

More on perfectly normal non-realcompact spaces ⋮ A non-\(D\)-space with large extent ⋮ The comparison of various club guessing principles ⋮ The saturation of club guessing ideals

Cites Work

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• Spaces in Which Special Sets are z-Embedded
• CH with no Ostaszewski spaces
• There is a paracompact Q-set space in ZFC
• A topological test space for many set-theoretical axioms
• Club guessing sequences and filters
• Borel-complete topological spaces
• Measures in Fully Normal Spaces

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