Models of real-valued measurability

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Annals of Pure and Applied Logic 142 (1):380-397 (2006)
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Abstract

Solovay’s random-real forcing [R.M. Solovay, Real-valued measurable cardinals, in: Axiomatic Set Theory , Amer. Math. Soc., Providence, R.I., 1971, pp. 397–428] 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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10.1016/j.apal.2006.04.003

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Models of Cohen measurability.Noam Greenberg & Saharon Shelah - 2014 - Annals of Pure and Applied Logic 165 (10):1557-1576.

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Some applications of model theory in set theory.Jack H. Silver - 1971 - Annals of Mathematical Logic 3 (1):45.

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