On the strength of the Sikorski extension theorem for Boolean algebras

DOI10.2307/2273477zbMath0537.03032OpenAlexW2043703128MaRDI QIDQ3322090

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Publication date: 1983

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

Full work available at URL: https://doi.org/10.2307/2273477

zbMATH Keywords

Boolean prime ideal theoremZFSikorski's extension theorem

Mathematics Subject Classification ID

Boolean algebras (Boolean rings) (06E99) Axiom of choice and related propositions (03E25)

Related Items (5)

Equational compactness of bi-frames and projection algebras ⋮ Zorn's lemma and complete Boolean algebras in intuitionistic type theories ⋮ Boolean algebras in a localic topos ⋮ Unnamed Item ⋮ On the set-theoretic strength of the existence of disjoint cofinal sets in posets without maximal elements

Cites Work

• Iterated Cohen extensions and Souslin's problem
• Unnamed Item

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