Geodesic
More Easton theorems for 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.
Colloquium Mathematicum, Tome 128 (2012) no. 1, pp. 69-86 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We establish two new Easton theorems for the least supercompact cardinal that are consistent with the level by level equivalence between strong compactness and supercompactness. These theorems generalize Theorem 1 in our earlier paper [Math. Logic Quart. 51 (2005)]. In both our ground model and the model witnessing the conclusions of our present theorems, there are no restrictions on the structure of the class of supercompact cardinals.
DOI : 10.4064/cm128-1-7
Keywords: establish easton theorems least supercompact cardinal consistent level level equivalence between strong compactness supercompactness these theorems generalize theorem earlier paper math logic quart ground model model witnessing conclusions present theorems there restrictions structure class supercompact cardinals

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. More Easton theorems for level by level equivalence. Colloquium Mathematicum, Tome 128 (2012) no. 1, pp. 69-86. doi: 10.4064/cm128-1-7

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