Abstract
We prove that if Kurepa's Hypothesis holds, then on a set of cardinality א1, there does not exist a family of א1 non-trivial measures such that each subset is measurable with respect to at least one of them. We also strengthen a theorem of Erdös and Alaoglu on the non-existence of enumerable families of measures.
Original language | English (US) |
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Pages (from-to) | 41-57 |
Number of pages | 17 |
Journal | Monatshefte für Mathematik |
Volume | 81 |
Issue number | 1 |
DOIs | |
State | Published - Mar 1976 |