Models of real-valued measurability

Sakae Fuchino, Noam Greenberg*, Saharon Shelah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

Solovay's random-real forcing [R.M. Solovay, Real-valued measurable cardinals, in: Axiomatic Set Theory (Proc. Sympos. Pure Math., Vol. XIII, Part I, Univ. California, Los Angeles, Calif., 1967), 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.

Original languageEnglish
Pages (from-to)380-397
Number of pages18
JournalAnnals of Pure and Applied Logic
Volume142
Issue number1-3
DOIs
StatePublished - Oct 2006

Keywords

  • Real-valued measurable

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