Free Boolean algebras and nowhere dense ultrafilters

DOI10.1016/j.apal.2003.11.022zbMath1054.03034OpenAlexW2063188054MaRDI QIDQ598287

Aleksander Błaszczyk

Publication date: 6 August 2004

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apal.2003.11.022

zbMATH Keywords

Mathias forcingextremally disconnected spacecompact separable spacefree Boolean algebrasnowhere dense ultrafilterregular-open algebrarigid Boolean algebras

Mathematics Subject Classification ID

Stone spaces (Boolean spaces) and related structures (06E15) Other combinatorial set theory (03E05) Extremally disconnected spaces, (F)-spaces, etc. (54G05)

Related Items (3)

Thin ultrafilters and the P-hierarchy of ultrafilters ⋮ How high can Baumgartner's \(\mathcal{I}\)-ultrafilters lie in the P-hierarchy? ⋮ Cascades, order, and ultrafilters

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• Independent Families in Complete Boolean Algebras
• Homeomorphisms of products of Boolean separable spaces
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• Inextensible Riesz spaces
• Ultrafilters on ω

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