On extensions of countable filterbases to ultrafilters and ultrafilter compactness

DOI10.2989/16073606.2017.1376229zbMath1436.03254OpenAlexW2754905312MaRDI QIDQ4637816

Horst Herrlich, Kyriakos Keremedis, Paul E. Howard

Publication date: 3 May 2018

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2017.1376229

zbMATH Keywords

compactnessStone spaceBoolean prime ideal theoremweak forms of the axiom of choiceTychonoff compactness theoremultraflter compactness

Mathematics Subject Classification ID

Compactness (54D30) Consistency and independence results (03E35) Product spaces in general topology (54B10) Stone spaces (Boolean spaces) and related structures (06E15) Axiom of choice and related propositions (03E25)

Related Items (1)

Hausdorff compactifications in ZF

Cites Work

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• The model of set theory generated by countably many generic reals
• Adding dependent choice
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