Kurepa's Hypothesis and a problem of Ulam on families of measures |
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| Authors: | Karel Prikry |
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| Institution: | 1. School of Mathematics, University of Minnesota, 55455, Minneapolis, MN, USA
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| Abstract: | We prove that if Kurepa's Hypothesis holds, then on a set of cardinality ?1, there does not exist a family of ?1 non-trivial measures such that each subset is measurable with respect to at least one of them. We also strengthen a theorem ofErdös andAlaoglu on the non-existence of enumerable families of measures. |
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