2006/01/05 by Sakaé Fuchino, Fuchino, Sakaé, Noam Greenberg +3
Computer Science · Mathematics · #03E35 #03E55 #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #FOS: Mathematics #Logic (math.LO) #Mathematical and Theoretical Analysis
paper · pdf · doi:10.48550/arxiv.math/0601087
openalex publication_date 2006/01/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.