Models of real-valued measurability
Sakaé Fuchino, Noam Greenberg, Saharon Shelah
Abstract
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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