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Countable \(\pi\)-character, countable compactness and PFA

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Publication:1709048
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DOI10.1016/j.topol.2018.02.009zbMath1393.54002OpenAlexW2793306209MaRDI QIDQ1709048

Alan Dow

Publication date: 27 March 2018

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

Full work available at URL: https://doi.org/10.1016/j.topol.2018.02.009


zbMATH Keywords

countably compactcountable tightness\(\mathsf{PFA}\)


Mathematics Subject Classification ID

Consistency and independence results in general topology (54A35)


Related Items (1)

On the cardinality of separable pseudoradial spaces



Cites Work

  • Compact {C}-closed spaces need not be sequential
  • Countable compactness, hereditary \(\pi\)-character, and the continuum hypothesis
  • CH and the Moore-Mrowka problem
  • On spaces in which countably compact sets are closed, and hereditary properties
  • Free sequences
  • Countable tightness and proper forcing
  • On Compact Hausdorff Spaces of Countable Tightness
  • Totally proper forcing and the Moore–Mrówka problem
  • On hereditarily α-Lindelöf and α-separable spaces, II
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