An equiconsistency for universal indestructibility

Arthur W. Apter; Grigor Sargsyan

doi:10.2178/jsl/1264433923

Abstract

We obtain an equiconsistency for a weak form of universal indestructibility for strongness. The equiconsistency is relative to a cardinal weaker in consistency strength than a Woodin cardinal, Stewart Baldwin's notion of hyperstrong cardinal. We also briefly indicate how our methods are applicable to universal indestructibility for supercompactness and strong compactness.

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Arthur W. Apter. Grigor Sargsyan. "An equiconsistency for universal indestructibility." J. Symbolic Logic 75 (1) 314 - 322, March 2010. https://doi.org/10.2178/jsl/1264433923

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Published: March 2010

First available in Project Euclid: 25 January 2010

zbMATH: 1184.03051

MathSciNet: MR2605896

Digital Object Identifier: 10.2178/jsl/1264433923

Subjects:

Primary: 03E35 , 03E45 , 03E55

Keywords: core model , equiconsistency , hyperstrong cardinal , indestructibility , measurable cardinal , strong cardinal , strongly compact cardinal , supercompact cardinal , Universal indestructibility , Woodin cardinal

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