Abstract
We prove under the assumption of the existence of a measurable, cardinal and precipitous ideal on w1 that every Σ(Formula presented.) set is Lebesgue measurable, has the Baire property and is either countable or contians a perfect subset. We get similar results for Σ(Formula presented.) sets, if we add the additional assumptions of C. H. and that(Formula presented.) carries a normal precipitous ideal.
Original language | English |
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Pages (from-to) | 109-134 |
Number of pages | 26 |
Journal | Israel Journal of Mathematics |
Volume | 35 |
Issue number | 1 |
DOIs | |
State | Published - Sep 1980 |