Journal of Symbolic Logic

Measurability and Degrees of Strong Compactness

Arthur W. Apter

Full-text is available via JSTOR, for JSTOR subscribers. Go to this article in JSTOR.


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

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

First available in Project Euclid: 6 July 2007

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier



Apter, Arthur W. Measurability and Degrees of Strong Compactness. J. Symbolic Logic 46 (1981), no. 2, 249--254.

Export citation