Problem #10
Is every Polish group graphic?
A Polish group is called graphic if every Borel action of on a Polish space generates a Borel graphable equivalence relation. Is every Polish group graphic?
Known Partial Results
Arant, Kechris and Lutz showed that every connected Polish group is graphic.
Reference for the problem statement
[AKL26]Tyler Arant, Alexander S. Kechris, and Patrick Lutz, Borel graphable equivalence relations, Advances in Mathematics, 2026 [link] [doi]
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