Complete quotient Boolean algebras

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dc.creatorKanamori, Akihiro
dc.creatorShelah, Saharon
dc.date1994-01-15
dc.date.accessioned2026-07-07T09:15:02Z
dc.date.available2026-07-07T09:15:02Z
dc.descriptionFor I a proper, countably complete ideal on P(X) for some set X, can the quotient Boolean algebra P(X)/I be complete? This question was raised by Sikorski in 1949. By a simple projection argument as for measurable cardinals, it can be assumed that X is an uncountable cardinal kappa, and that I is a kappa-complete ideal on P(kappa) containing all singletons. In this paper we provide consequences from and consistency results about completeness.
dc.identifierhttps://arxiv.org/abs/math/9401212
dc.identifierhttp://arxiv.org/abs/math/9401212
dc.identifierTrans. Amer. Math. Soc. 347 (1995), 1963--1979
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152888
dc.subjectLogic
dc.subjectGeneral Topology
dc.titleComplete quotient Boolean algebras
dc.typetext

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