PFA and ω1-free compact spaces

K.P. Hart; Alan Dow

doi:10.1007/s10474-021-01197-9

PFA and ω1-free compact spaces

K.P. Hart, Alan Dow

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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 language	English
Pages (from-to)	57-64
Number of pages	8
Journal	Acta Mathematica Hungarica
Volume	166
Issue number	1
DOIs	https://doi.org/10.1007/s10474-021-01197-9
Publication status	Published - 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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Dow_Hart2022_Article_PFAAndOmega1_1_freeCompactSpacFinal published version, 260 KB

https://fa.ewi.tudelft.nl/~hart/37/publications/the_papers/PFA-free.pdfLicence: Unspecified

Cite this

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PFA and ω1-free compact spaces

Abstract

Bibliographical note

Keywords

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