Strong Cardinals can be Fully Laver Indestructible

Mathematical Logic Quarterly 48 (4):499-507 (2002)
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Abstract

We prove three theorems which show that it is relatively consistent for any strong cardinal κ to be fully Laver indestructible under κ-directed closed forcing

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Citations of this work

Indestructibility of Vopěnka’s Principle.Andrew D. Brooke-Taylor - 2011 - Archive for Mathematical Logic 50 (5-6):515-529.
A Laver-like indestructibility for hypermeasurable cardinals.Radek Honzik - 2019 - Archive for Mathematical Logic 58 (3-4):275-287.
Some remarks on indestructibility and Hamkins? lottery preparation.Arthur W. Apter - 2003 - Archive for Mathematical Logic 42 (8):717-735.
Reducing the consistency strength of an indestructibility theorem.Arthur W. Apter - 2008 - Mathematical Logic Quarterly 54 (3):288-293.

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