More on regular reduced products

dc.creatorKennedy, Juliette
dc.creatorShelah, Saharon
dc.date2005-04-10
dc.date.accessioned2026-07-07T05:18:58Z
dc.date.available2026-07-07T05:18:58Z
dc.descriptionThe authors show, by means of a finitary version square^{fin}_{lambda,D} of the combinatorial principle square^{b^*}_{lambda}, the consistency of the failure, relative to the consistency of supercompact cardinals, of the following: for all regular filters D on a cardinal lambda, if M_i and N_i are elementarily equivalent models of a language of size <= lambda, then the second player has a winning strategy in the Ehrenfeucht-Fraisse game of length lambda^+ on prod_i M_i/D and prod_i N_i/D. If in addition 2^{lambda}= lambda^+ and i<lambda implies |M_i|+|N_i| <= lambda^+ this means that the ultrapowers are isomorphic.
dc.identifierhttps://arxiv.org/abs/math/0504200
dc.identifierhttp://arxiv.org/abs/math/0504200
dc.identifierJ. Symbolic Logic 69 No. 4 (2004) 1261--1266
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74850
dc.subjectLogic
dc.titleMore on regular reduced products
dc.typetext

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