Journal of Symbolic Logic

An equiconsistency for universal indestructibility

Arthur W. Apter and Grigor Sargsyan

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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.

Article information

Source
J. Symbolic Logic, Volume 75, Issue 1 (2010), 314-322.

Dates
First available in Project Euclid: 25 January 2010

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1264433923

Digital Object Identifier
doi:10.2178/jsl/1264433923

Mathematical Reviews number (MathSciNet)
MR2605896

Zentralblatt MATH identifier
1184.03051

Subjects
Primary: 03E35: Consistency and independence results 03E45: Inner models, including constructibility, ordinal definability, and core models 03E55: Large cardinals

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

Citation

Apter, Arthur W.; Sargsyan, Grigor. An equiconsistency for universal indestructibility. J. Symbolic Logic 75 (2010), no. 1, 314--322. doi:10.2178/jsl/1264433923. https://projecteuclid.org/euclid.jsl/1264433923


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