More on perfectly normal non-realcompact spaces

DOI10.1016/J.TOPOL.2005.04.009zbMath1103.54002OpenAlexW1983444112MaRDI QIDQ820102

Tetsuya Ishiu

Publication date: 6 April 2006

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

Full work available at URL: https://doi.org/10.1016/j.topol.2005.04.009

zbMATH Keywords

locally compactrealcompactMartin's axiomfirst countablecontinuum hypothesisproper forcing axiomperfectly normalD-spacelocally countableguessing sequence

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) Continuum hypothesis and Martin's axiom (03E50) Consistency and independence results in general topology (54A35) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80)

Related Items (1)

A non-\(D\)-space with large extent

Cites Work

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• A perfectly normal nonrealcompact space consistent with MA\(_{\aleph_1}\)
• Simultaneous linear extension of Continuous functions
• On Countably Compact, Perfectly Normal Spaces
• THE CLUB GUESSING IDEAL: COMMENTARY ON A THEOREM OF GITIK AND SHELAH
• D-spaces

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