Measurability and degrees of strong compactness

Author:

Apter Arthur W.

Abstract

AbstractWe 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.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference10 articles.

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