Remark on the Failure of Martin's Axiom

dc.creatorLandver, Avner
dc.date1992-07-31
dc.date.accessioned2026-07-07T09:14:47Z
dc.date.available2026-07-07T09:14:47Z
dc.descriptionLet m be the least cardinal k such that MA(k) fails. The only known model for "m is singular" was constructed by Kunen. In Kunen's model cof(m)=omega_1. It is unknown whether "omega_1 < cof(m) < m" is consistent. The purpose of this paper is to present a proof of Kunen's result and to identify the difficulties of generalizing this result to an arbitrary uncountable cofinality.
dc.identifierhttps://arxiv.org/abs/math/9207205
dc.identifierhttp://arxiv.org/abs/math/9207205
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152803
dc.subjectLogic
dc.titleRemark on the Failure of Martin's Axiom
dc.typetext

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