On the existence of atomic models

dc.creatorLaskowski, Michael C.
dc.creatorShelah, Saharon
dc.date1993-01-15
dc.date.accessioned2026-07-07T09:14:51Z
dc.date.available2026-07-07T09:14:51Z
dc.descriptionWe give an example of a countable theory T such that for every cardinal lambda >= aleph_2 there is a fully indiscernible set A of power lambda such that the principal types are dense over A, yet there is no atomic model of T over A. In particular, T(A) is a theory of size lambda where the principal types are dense, yet T(A) has no atomic model.
dc.identifierhttps://arxiv.org/abs/math/9301210
dc.identifierhttp://arxiv.org/abs/math/9301210
dc.identifierJ. Symbolic Logic 58 (1993), 1189--1194
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152828
dc.subjectLogic
dc.titleOn the existence of atomic models
dc.typetext

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