×

An equiconsistency for universal indestructibility. (English) Zbl 1184.03051

Summary: 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.

MSC:

03E35 Consistency and independence results
03E45 Inner models, including constructibility, ordinal definability, and core models
03E55 Large cardinals
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] DOI: 10.1007/BF01624081 · Zbl 0663.03041
[2] Between strong and superstrong 51 pp 547– (1986)
[3] DOI: 10.4064/ba55-1-1 · Zbl 1121.03068
[4] Kobe Journal of Mathematics 16 pp 119– (1999)
[5] Inner models and large cardinals 5 (2002)
[6] DOI: 10.2307/421092 · Zbl 0933.03067
[7] The core model iterability problem 8 (1996) · Zbl 0864.03035
[8] The higher infinite (1994)
[9] DOI: 10.1007/BF02773382 · Zbl 1010.03042
[10] DOI: 10.1016/S0168-0072(99)00010-X · Zbl 0949.03045
[11] DOI: 10.1007/BF02761175 · Zbl 0381.03039
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.