Models of real-valued measurability
  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. 
Saka\'e Fuchino, Noam Greenberg, Saharon Shelah