Geodesic
Singular Failures of GCH and Level by Level Equivalence
Arthur W. Apter1
1 Department of Mathematics Baruch College of CUNY New York, NY 10010, U.S.A. and The CUNY Graduate Center, Mathematics 365 Fifth Avenue New York, NY 10016, U.S.A.
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 62 (2014) no. 1, pp. 11-21.

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

We construct a model for the level by level equivalence between strong compactness and supercompactness in which below the least supercompact cardinal $\kappa $, there is an unbounded set of singular cardinals which witness the only failures of GCH in the universe. In this model, the structure of the class of supercompact cardinals can be arbitrary.
DOI : 10.4064/ba62-1-2
Keywords: construct model level level equivalence between strong compactness supercompactness which below least supercompact cardinal kappa there unbounded set singular cardinals which witness only failures gch universe model structure class supercompact cardinals arbitrary

Arthur W. Apter 1

1 Department of Mathematics Baruch College of CUNY New York, NY 10010, U.S.A. and The CUNY Graduate Center, Mathematics 365 Fifth Avenue New York, NY 10016, U.S.A. 
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Arthur W. Apter. Singular Failures of GCH and Level by Level Equivalence. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 62 (2014) no. 1, pp. 11-21. doi : 10.4064/ba62-1-2. http://geodesic.mathdoc.fr/articles/10.4064/ba62-1-2/

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