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PFA(S) and countable tightness

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Publication:1731332
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DOI10.1016/j.topol.2019.01.021zbMath1411.54005OpenAlexW2913482893WikidataQ128484248 ScholiaQ128484248MaRDI QIDQ1731332

Alan Dow

Publication date: 13 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.topol.2019.01.021


zbMATH Keywords

PFAforcing with Souslin treeMoore-Mrówka


Mathematics Subject Classification ID

Consistency and independence results in general topology (54A35)




Cites Work

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  • \(\mathrm{PFA}(S)[S\) and locally compact normal spaces]
  • CH and the Moore-Mrowka problem
  • Canonical models for \(\aleph_1\)-combinatorics
  • On perfect pre-images of \(\omega _{1}\)
  • \(\mathrm{PFA}(S)[S\) and countably compact spaces]
  • A normal hereditarily separable non-Lindelöf space
  • Katetov’s problem
  • Forcing Positive Partition Relations
  • On Compact Hausdorff Spaces of Countable Tightness
  • An variation for one souslin tree
  • ωι-Sonslin trees under countable support iterations
  • Embedding Trees in the Rationals




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