Models of Real-Valued Measurability

by Fuchino and Greenberg and Shelah. [FGSh:763]
Annals Pure and Applied Logic, 2006
Solovay's random-real forcing 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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