Level by level inequivalence beyond measurability |
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| Authors: | Arthur W. Apter |
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| Affiliation: | 1. Department of Mathematics, Baruch College of CUNY, New York, NY, 10010, USA
2. The CUNY Graduate Center, Mathematics, 365 Fifth Avenue, New York, NY, 10016, USA
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| Abstract: | We construct models containing exactly one supercompact cardinal in which level by level inequivalence between strong compactness and supercompactness holds. In each model, above the supercompact cardinal, there are finitely many strongly compact cardinals, and the strongly compact and measurable cardinals precisely coincide. |
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