Models of real-valued measurability

Details Models of real-valued measurability Models of real-valued measurability

2006-01-05

arxiv.org/abs/math/0601087v3

Mathematics

Logic

23 pages. Minor changes; added reference

Scientific paper

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.

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