0^# and elementary end extensions of V_k

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dc.creatorLeshem, Amir
dc.date2000-05-17
dc.date.accessioned2026-07-07T04:35:21Z
dc.date.available2026-07-07T04:35:21Z
dc.descriptionIn this paper we prove that if k is a cardinal in L[0^#], then there is an inner model M such that M |= (V_k,E) has no elementary end extension. In particular if 0^# exists then weak compactness is never downwards absolute. We complement the result with a lemma stating that any cardinal greater than aleph_1 of uncountable cofinality in L[0^#] is Mahlo in every strict inner model of L[0^#].
dc.descriptionTo appear in Proc. of the AMS
dc.identifierhttps://arxiv.org/abs/math/0005175
dc.identifierhttp://arxiv.org/abs/math/0005175
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59222
dc.subjectLogic
dc.subject03E45;03E55
dc.title0^# and elementary end extensions of V_k
dc.typetext

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