Regular subalgebras of complete Boolean algebras

DOI10.2307/2695044zbMath0992.06013OpenAlexW2096622861MaRDI QIDQ2747718

Aleksander Błaszczyk, Saharon Shelah

Publication date: 5 September 2002

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2695044

zbMATH Keywords

complete Boolean algebrasregular subalgebrasatomless\(\sigma\)-centered\(\sigma\)-centered forcingnowhere dense ultrafilter on \(\omega\)

Mathematics Subject Classification ID

Consistency and independence results (03E35) Stone spaces (Boolean spaces) and related structures (06E15) Structure theory of Boolean algebras (06E05) Chain conditions, complete algebras (06E10)

Related Items (7)

ccc forcing and splitting reals ⋮ Free Boolean algebras and nowhere dense ultrafilters ⋮ Mathias-Prikry and Laver-Prikry type forcing ⋮ Thin ultrafilters and the P-hierarchy of ultrafilters ⋮ The hyper-weak distributive law and a related game in Boolean algebras ⋮ Inverse systems and I-favorable spaces ⋮ THE MODAL LOGIC OF -CENTERED FORCING AND RELATED FORCING CLASSES

Cites Work

• More on simple forcing notions and forcings with ideals
• Selctive ultrafilters and homogeneity

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