Models of real-valued measurability

Research paper by Sakaé Fuchino, Noam Greenberg, Saharon Shelah

Indexed on: 04 Apr '06Published on: 04 Apr '06Published in: Mathematics - Logic

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.