On measure and category |
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| Authors: | Shelah Saharon |
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| Institution: | (1) Institute of Mathematics and Computer Science, The Hebrew University of Jerusalem, Jerusalem, Israel;(2) EECS and Mathematics Departments, University of Michigan, 48109 Ann Arbor, MI, USA |
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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.
This research was partially supported by an NSF grant and the U.S.-Israel Binational Science Foundation. |
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