Geodesic
Strong compactness, measurability, and the class of supercompact cardinals
Arthur W. Apter1
1 Department of Mathematics Baruch College of CUNY New York, NY 10010, U.S.A.
Fundamenta Mathematicae, Tome 167 (2001) no. 1, pp. 65-78

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $\delta $ is $2^\delta $ strongly compact.
DOI : 10.4064/fm167-1-5
Keywords: prove theorems concerning strong compactness measurability class supercompact cardinals begin showing relative appropriate hypotheses consistent non trivially every supercompact cardinal limit non supercompact strongly compact cardinals relative existence non trivial proper improper class supercompact cardinals possible have model class supercompact cardinals which every measurable cardinal delta delta strongly compact

Arthur W. Apter 1

1 Department of Mathematics Baruch College of CUNY New York, NY 10010, U.S.A. 
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Arthur W. Apter. Strong compactness, measurability,
and the class of supercompact cardinals. Fundamenta Mathematicae, Tome 167 (2001) no. 1, pp. 65-78. doi: 10.4064/fm167-1-5

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