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arxiv: math/0601087 · v3 · pith:KIESX6VQnew · submitted 2006-01-05 · 🧮 math.LO

Models of real-valued measurability

classification 🧮 math.LO
keywords real-valuedmeasurabilitysolovaycardinalscombinatorialconstructionexistencefollow
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Solovay's random-real forcing (1971) is the standard way of producing real-valued measurable cardinals. Following questions of Fremlin, by giving a new construction, we show that there are combinatorial, measure-theoretic properties of Solovay's model that do not follow from the existence of real-valued measurability.

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