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arXiv:math/0601087 [math.LO]AbstractReferencesReviewsResources

Models of real-valued measurability

SakaƩ Fuchino, Noam Greenberg, Saharon Shelah

Published 2006-01-05, updated 2006-04-04Version 3

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.

Comments: 23 pages. Minor changes; added reference
Categories: math.LO
Subjects: 03E55, 03E35
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