The pair $(\aleph_n,\aleph_0)$ may fail $\aleph_0$--compactness

dc.creatorShelah, Saharon
dc.date2004-04-13
dc.date.accessioned2026-07-07T05:07:24Z
dc.date.available2026-07-07T05:07:24Z
dc.descriptionLet P be a distinguished unary predicate and K= {M: M a model of cardinality aleph_n with P^M of cardinality aleph_0}. We prove that consistently for n=4, for some countable first order theory T we have: T has no model in K whereas every finite subset of T has a model in K. We then show how we prove it also for n=2, too.
dc.identifierhttps://arxiv.org/abs/math/0404240
dc.identifierhttp://arxiv.org/abs/math/0404240
dc.identifierin: {Logic Colloquium '01} (2005) 402--433
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70846
dc.subjectLogic
dc.titleThe pair $(\aleph_n,\aleph_0)$ may fail $\aleph_0$--compactness
dc.typetext

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