1 5 M ay 1 99 7 The null ideal restricted to some non null set may be א 1 - saturated
نویسنده
چکیده
Our main result is that possibly some non-null set of reals cannot be divided to uncountably many non-null sets.
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We define the property of Π2-compactness of a statement φ of set theory, meaning roughly that the hard core of the impact of φ on combinatorics of א1 can be isolated in a canonical model for the statement φ. We show that the following statements are Π2compact: “dominating number= א1,” “cofinality of the meager ideal= א1”, “cofinality of the null ideal= א1”,“bounding number= א1”, existence of va...
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