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Models of real-valued measurability

Sakaé Fuchino·Noam Greenberg·Saharon Shelah
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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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Sakaé Fuchino, Noam Greenberg, Saharon Shelah. 2006-01-05. Models of real-valued measurability. https://arxiv.org/abs/math/0601087

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