Reducing the consistency strength of an indestructibility theorem

Mathematical Logic Quarterly 54 (3):288-293 (2008)
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Abstract

Using an idea of Sargsyan, we show how to reduce the consistency strength of the assumptions employed to establish a theorem concerning a uniform level of indestructibility for both strong and supercompact cardinals

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10.1002/malq.200710037

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Citations of this work

The large cardinals between supercompact and almost-huge.Norman Lewis Perlmutter - 2015 - Archive for Mathematical Logic 54 (3-4):257-289.
On extensions of supercompactness.Robert S. Lubarsky & Norman Lewis Perlmutter - 2015 - Mathematical Logic Quarterly 61 (3):217-223.

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References found in this work

The lottery preparation.Joel David Hamkins - 2000 - Annals of Pure and Applied Logic 101 (2-3):103-146.
Gap forcing: Generalizing the lévy-Solovay theorem.Joel David Hamkins - 1999 - Bulletin of Symbolic Logic 5 (2):264-272.
Strong Cardinals can be Fully Laver Indestructible.Arthur W. Apter - 2002 - Mathematical Logic Quarterly 48 (4):499-507.

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