Large cardinals with few measures

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dc.creatorApter, Arthur W.
dc.creatorCummings, James
dc.creatorHamkins, Joel David
dc.date2006-03-12
dc.date.accessioned2026-07-07T07:06:46Z
dc.date.available2026-07-07T07:06:46Z
dc.descriptionWe show, assuming the consistency of one measurable cardinal, that it is consistent for there to be exactly kappa+ many normal measures on the least measurable cardinal kappa. This answers a question of Stewart Baldwin. The methods generalize to higher cardinals, showing that the number of lambda strong compactness or lambda supercompactness measures on P_kappa(lambda) can be exactly lambda+, if lambda>kappa is a regular cardinal. We conclude with a list of open questions. Our proofs use a critical observation due to James Cummings.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0603260
dc.identifierhttp://arxiv.org/abs/math/0603260
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110148
dc.subjectLogic
dc.subject03E35; 03E55
dc.titleLarge cardinals with few measures
dc.typetext

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