On incomparability and related cardinal functions on ultraproducts of Boolean algebras

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dc.creatorShelah, Saharon
dc.creatorSpinas, Otmar
dc.date1999-03-18
dc.date.accessioned2026-07-07T05:28:23Z
dc.date.available2026-07-07T05:28:23Z
dc.descriptionLet C denote any of the following cardinal characteristics of Boolean algebras: incomparability, spread, character, pi-character, hereditary Lindelof number, hereditary density. It is shown to be consistent that there exists a sequence <B_i:i<kappa> of Boolean algebras and an ultrafilter D on kappa such that C(prod_{i<kappa}B_i/D)<|prod_{i<kappa}C(B_i)/D|. This answers a number of problems posed by Monk.
dc.identifierhttps://arxiv.org/abs/math/9903116
dc.identifierhttp://arxiv.org/abs/math/9903116
dc.identifierMath. Japon. 52 No. 3 (2000) 345--358
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78240
dc.subjectLogic
dc.subjectGeneral Topology
dc.subject06E05, 03E35 (Primary); 03E55 (Secondary)
dc.titleOn incomparability and related cardinal functions on ultraproducts of Boolean algebras
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