On embedding models of arithmetic of cardinality aleph_1 into reduced powers

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dc.creatorKennedy, Juliette
dc.creatorShelah, Saharon
dc.date2001-05-16
dc.date.accessioned2026-07-07T04:41:44Z
dc.date.available2026-07-07T04:41:44Z
dc.descriptionIn the early 1970's S.Tennenbaum proved that all countable models of PA^- + forall_1-Th(N) are embeddable into the reduced product N^omega/F, where F is the cofinite filter. In this paper we show that if M is a model of PA^- + forall_1-Th(N), and |M|= aleph_1, then M is embeddable into N^omega/D, where D is any regular filter on omega.
dc.identifierhttps://arxiv.org/abs/math/0105134
dc.identifierhttp://arxiv.org/abs/math/0105134
dc.identifierFund. Math. 176 No. 1 (2003) 17--24
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61479
dc.subjectLogic
dc.titleOn embedding models of arithmetic of cardinality aleph_1 into reduced powers
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