Global Square and Mutual Stationarity at the Aleph_n

dc.creatorKoepke, Peter
dc.creatorWelch, Philip
dc.date2007-09-26
dc.date.accessioned2026-07-07T08:32:18Z
dc.date.available2026-07-07T08:32:18Z
dc.descriptionWe show using a proof of the Global Square property in Core Models below a measurable of Mitchell order o(kappa)=kappa^++ (a result originally due to Jensen & Zeman) that Foreman and Magidor's Mutual Stationarity property MS(Aleph_n (1<n<omega), Cof(omega_1)) implies the existence of inner models with measurables of high Mitchell order. This MS property states that any sequence of independently chosen stationary subsets S_n of the Aleph_n (of fixed cofinality omega_1) is mutually stationary below aleph_omega.
dc.description34 pages
dc.identifierhttps://arxiv.org/abs/0709.4127
dc.identifierhttp://arxiv.org/abs/0709.4127
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138759
dc.subjectLogic
dc.subject03E45, 03E35, 03E10, 03E55
dc.titleGlobal Square and Mutual Stationarity at the Aleph_n
dc.typetext

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