TY - JOUR
T1 - Models of real-valued measurability
AU - Fuchino, Sakae
AU - Greenberg, Noam
AU - Shelah, Saharon
PY - 2006/10
Y1 - 2006/10
N2 - 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.
AB - 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.
KW - Real-valued measurable
UR - http://www.scopus.com/inward/record.url?scp=33745728793&partnerID=8YFLogxK
U2 - 10.1016/j.apal.2006.04.003
DO - 10.1016/j.apal.2006.04.003
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:33745728793
SN - 0168-0072
VL - 142
SP - 380
EP - 397
JO - Annals of Pure and Applied Logic
JF - Annals of Pure and Applied Logic
IS - 1-3
ER -