Journal of Symbolic Logic

Measurability and Degrees of Strong Compactness

Arthur W. Apter

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Abstract

We prove, relative to suitable hypotheses, that it is consistent for there to be unboundedly many measurable cardinals each of which possesses a large degree of strong compactness, and that it is consistent to assume that the least measurable is partially strongly compact and that the second measurable is strongly compact. These results partially answer questions of Magidor on the relationship of strong compactness to measurability.

Article information

Source
J. Symbolic Logic, Volume 46, Issue 2 (1981), 249-254.

Dates
First available in Project Euclid: 6 July 2007

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1183740773

Mathematical Reviews number (MathSciNet)
MR613279

Zentralblatt MATH identifier
0491.03021

JSTOR
links.jstor.org

Citation

Apter, Arthur W. Measurability and Degrees of Strong Compactness. J. Symbolic Logic 46 (1981), no. 2, 249--254. https://projecteuclid.org/euclid.jsl/1183740773


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