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arxiv: 1708.00642 · v1 · pith:XN7AOH27new · submitted 2017-08-02 · 🧮 math.LO

A separation result for countable unions of Borel rectangles

classification 🧮 math.LO
keywords countablesigmatimesanalyticbinaryborelcharacterizingdichotomy
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We provide dichotomy results characterizing when two disjoint analytic binary relations can be separated by a countable union of ${\bf\Sigma}^0_1 \!\times\! {\bf\Sigma}^0_\xi$ sets, or by a ${\bf\Pi}^0_1 \!\times\! {\bf\Pi}^0_\xi$ set.

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