On measure and category

Saharon Shelah

doi:10.1007/BF02776084

On measure and category

Saharon Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

10 Scopus citations

Abstract

We show that under ZF + DC, even if every set of reals is measurable, not necessarily every set of reals has the Baire property. This was somewhat surprising, as for the Σ₂¹ set the implication holds.

Original language	English
Pages (from-to)	110-114
Number of pages	5
Journal	Israel Journal of Mathematics
Volume	52
Issue number	1-2
DOIs	https://doi.org/10.1007/BF02776084
State	Published - Mar 1985

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abstract = "We show that under ZF + DC, even if every set of reals is measurable, not necessarily every set of reals has the Baire property. This was somewhat surprising, as for the Σ 2 1 set the implication holds.",

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On measure and category

Abstract

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