Models of real-valued measurability

Abstract. Solovay's random-real forcing ([1]) 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, measuretheoretic properties of Solovay's model that do not follow from the existence of real-valued measurability.

• Type: Journal
• Year: 2006
• Where: APAL
• Authors: Sakaé Fuchino, Noam Greenberg, Saharon Shelah
• Keywords: APAL 2006, Measurable Cardinals, Measuretheoretic Properties, Standard Way