منابع مشابه
Tall , Strong , and Strongly Compact Cardinals ∗ † Arthur
We construct three models in which there are different relationships among the classes of strongly compact, strong, and non-strong tall cardinals. In the first two of these models, the strongly compact and strong cardinals coincide precisely, and every strongly compact/strong cardinal is a limit of non-strong tall cardinals. In the remaining model, the strongly compact cardinals are precisely c...
متن کاملLevel by Level Inequivalence , Strong Compactness , and GCH ∗ † Arthur
We construct three models containing exactly one supercompact cardinal in which level by level inequivalence between strong compactness and supercompactness holds. In the first two models, below the supercompact cardinal κ, there is a non-supercompact strongly compact cardinal. In the last model, any suitably defined ground model Easton function is realized.
متن کامل“ On the Strong Equality between Supercompactness and Strong Compactness ” by Arthur
We show that supercompactness and strong compactness can be equivalent even as properties of pairs of regular cardinals. Specifically, we show that if V |= ZFC + GCH is a given model (which in interesting cases contains instances of supercompactness), then there is some cardinal and cofinality preserving generic extension V [G] |= ZFC + GCH in which, (a) (preservation) for κ ≤ λ regular, if V |...
متن کامل1 5 Fe b 19 95 “ On the Strong Equality between Supercompactness and Strong Compactness ” by Arthur
We show that supercompactness and strong compactness can be equivalent even as properties of pairs of regular cardinals. Specifically, we show that if V |= ZFC + GCH is a given model (which in interesting cases contains instances of supercompactness), then there is some cardinal and cofinality preserving generic extension V [G] |= ZFC + GCH in which, (a) (preservation) for κ ≤ λ regular, if V |...
متن کاملArthur C .
Journal of Policy Analysis and Management, Vol. 24, No. 3, 543–558 (2005) © 2005 by the Association for Public Policy Analysis and Management Published by Wiley Periodicals, Inc. Published online in Wiley InterScience (www.interscience.wiley.com) DOI: 10.1002/pam.20114 Manuscript received July 2004; review complete September 2004; revision complete October 2004; revision review complete Decembe...
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ژورنال
عنوان ژورنال: The Antiquaries Journal
سال: 1943
ISSN: 0003-5815,1758-5309
DOI: 10.1017/s0003581500016516