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The first measurable cardinal can be the first uncountable regular cardinal at any successor height |
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| Authors: | Arthur W Apter Ioanna M Dimitriou Peter Koepke |
| Institution: | 1. Mathematics, The Graduate Center of The City University of New York, , New York, NY, 10016 United States of America;2. Department of Mathematics, Baruch College, , New York, NY, 10010 United States of America;3. Mathematisches Institut, Rheinische Friedrich‐Wilhelms‐Universit?t Bonn, , 53115 Bonn, Germany |
| Abstract: | We use techniques due to Moti Gitik to construct models in which for an arbitrary ordinal ?,  is both the least measurable and least regular uncountable cardinal. |
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