Models of real-valued measurability

Sakae Fuchino; Noam Greenberg; Saharon Shelah

doi:10.1016/j.apal.2006.04.003

Models of real-valued measurability

Sakae Fuchino
, Noam Greenberg^*
, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	380-397
Number of pages	18
Journal	Annals of Pure and Applied Logic
Volume	142
Issue number	1-3
DOIs	https://doi.org/10.1016/j.apal.2006.04.003
State	Published - Oct 2006

Keywords

Real-valued measurable

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10.1016/j.apal.2006.04.003

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title = "Models of real-valued measurability",

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.",

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author = "Sakae Fuchino and Noam Greenberg and Saharon Shelah",

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Models of real-valued measurability

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Keywords

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