PFA and ω1-free compact spaces

K.P. Hart, Alan Dow

Research output: Contribution to journalArticlepeer-review

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Abstract

The Proper Forcing Axiom implies that compact Hausdorff spaces are either first-countable or contain a converging ω1-sequence.
Original languageEnglish
Pages (from-to)57-64
Number of pages8
JournalActa Mathematica Hungarica
Volume166
Issue number1
DOIs
Publication statusPublished - 2022

Bibliographical note

Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care
Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

Keywords

  • Mathematics
  • Topology
  • Set theory
  • compact
  • convergence
  • omega(1)-sequence
  • first-countable
  • PFA

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