Precipitous ideals and Σ(Formula presented.) setssets

Menachem Magidor

doi:10.1007/BF02760941

Precipitous ideals and Σ(Formula presented.) setssets

Menachem Magidor^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

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
Pages (from-to)	109-134
Number of pages	26
Journal	Israel Journal of Mathematics
Volume	35
Issue number	1
DOIs	https://doi.org/10.1007/BF02760941
State	Published - Sep 1980

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Precipitous ideals and Σ(Formula presented.) setssets

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