Precipitous ideals and Σ(Formula presented.) setssets

Menachem Magidor*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)109-134
Number of pages26
JournalIsrael Journal of Mathematics
Volume35
Issue number1
DOIs
StatePublished - Sep 1980

Fingerprint

Dive into the research topics of 'Precipitous ideals and Σ(Formula presented.) setssets'. Together they form a unique fingerprint.

Cite this