On cardinalities in quotients of inverse limits of groups

dc.creatorGrossberg, Rami
dc.creatorShelah, Saharon
dc.date1999-11-28
dc.date.accessioned2026-07-07T05:31:59Z
dc.date.available2026-07-07T05:31:59Z
dc.descriptionLet lambda be aleph_0 or a strong limit of cofinality aleph_0. Suppose that (G_m,p_{m,n}:m =< n<omega) and (H_m,p^t_{m,n}: m=< n < omega) are projective systems of groups of cardinality less than lambda and suppose that for every n<omega there is a homomorphism h:H_n-->G_n such that all the diagrams commute. If for every mu<lambda there exists (f_i in G_omega:i<mu) such that for distinct i,j we have: f_i f_j^{-1} notin h_omega(H_omega), then there exists (f_i in G_omega:i<2^lambda) such that for distinct i,j we have f_i f_j^{-1} notin h_omega(H_omega).
dc.identifierhttps://arxiv.org/abs/math/9911225
dc.identifierhttp://arxiv.org/abs/math/9911225
dc.identifierMathematica Japonica, 47(1998):189-197
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79497
dc.subjectLogic
dc.titleOn cardinalities in quotients of inverse limits of groups
dc.typetext

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