PFA and ω1-free compact spaces

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PFA and ω1-free compact spaces

Journal Article (2022)

Author(s)

K.P. Hart (TU Delft - Analysis)

Alan Dow (University of North Carolina)

Mathematics Topology Set theory Convergence Compact Omega(1)-sequence First-countable PFA

DOI related publication

https://doi.org/10.1007/s10474-021-01197-9 Final published version

To reference this document use

https://resolver.tudelft.nl/uuid:bb555cfb-419f-49ba-86e0-47ec4b9ea8d9

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Publication Year

2022

Language

English

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.

Journal title

Acta Mathematica Hungarica

Issue number

1

Volume number

166

Pages (from-to)

57-64

Downloads counter

171

Collections

Institutional Repository

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Abstract

The Proper Forcing Axiom implies that compact Hausdorff spaces are either first-countable or contain a converging ω1-sequence.

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