Categoricity from one successor cardinal in Tame Abstract Elementary Classes

dc.creatorGrossberg, Rami
dc.creatorVanDieren, Monica
dc.date2005-09-30
dc.date.accessioned2026-07-07T06:20:32Z
dc.date.available2026-07-07T06:20:32Z
dc.descriptionLet K be an abstract elementary classes which has arbitrarily large models and satisfies the amalgamation and joint embedding properties. Theorem 1. Suppose K is χ-tame. If K is categorical in some λ^+ >LS(K) then it is categorical in all μ\geq (λ+χ)^+. Theorem 2. If K is LS(K)-tame and is categorical both in LS(K) and in LS(K)^+ then K is categorical in all μ\geq LS(K).
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/0510004
dc.identifierhttp://arxiv.org/abs/math/0510004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95346
dc.subjectLogic
dc.subject03C45;03C52;03C75
dc.titleCategoricity from one successor cardinal in Tame Abstract Elementary Classes
dc.typetext

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