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• # Artykuł - szczegóły

## Fundamenta Mathematicae

2001 | 167 | 1 | 65-78

## Strong compactness, measurability, and the class of supercompact cardinals

EN

### Abstrakty

EN
We prove two theorems concerning strong compactness, measurability, and the class of supercompact cardinals. We begin by showing, relative to the appropriate hypotheses, that it is consistent non-trivially for every supercompact cardinal to be the limit of (non-supercompact) strongly compact cardinals. We then show, relative to the existence of a non-trivial (proper or improper) class of supercompact cardinals, that it is possible to have a model with the same class of supercompact cardinals in which every measurable cardinal δ is $2^{δ}$ strongly compact.

65-78

wydano
2001

### Twórcy

autor
• Department of Mathematics, Baruch College of CUNY, New York, NY 10010, U.S.A.