Some results on consecutive large cardinals

Annals of Pure and Applied Logic 25 (1):1-17 (1983)
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Abstract

We obtain 2 models in which AC is false and in which there are long sequences of consecutive large cardinals

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Citations of this work

Laver Indestructibility and the Class of Compact Cardinals.Arthur W. Apter - 1998 - Journal of Symbolic Logic 63 (1):149-157.
Identity crises and strong compactness.Arthur W. Apter & James Cummings - 2000 - Journal of Symbolic Logic 65 (4):1895-1910.
Making all cardinals almost Ramsey.Arthur W. Apter & Peter Koepke - 2008 - Archive for Mathematical Logic 47 (7-8):769-783.
Level by level inequivalence beyond measurability.Arthur W. Apter - 2011 - Archive for Mathematical Logic 50 (7-8):707-712.
On a problem of Foreman and Magidor.Arthur W. Apter - 2005 - Archive for Mathematical Logic 44 (4):493-498.

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References found in this work

Powers of regular cardinals.William B. Easton - 1970 - Annals of Mathematical Logic 1 (2):139.
A combinatorial property of p κλ.Telis K. Menas - 1976 - Journal of Symbolic Logic 41 (1):225-234.
Iterated Cohen Extensions and Souslin's Problem.R. M. Solovay & S. Tennenbaum - 1974 - Journal of Symbolic Logic 39 (2):329-330.

View all 7 references / Add more references