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Feb 19, 2022 at 22:12 comment added Elliot Glazer The bijection is definable. I've posted an answer to the linked question.
Feb 18, 2022 at 21:42 comment added Elliot Glazer This is provable in $Z,$ even in second-order arithmetic. The principle $ATR_0$ is equivalent to every uncountable closed set in a Polish space containing a perfect subset.
S Feb 18, 2022 at 15:29 history answered user21820 CC BY-SA 4.0
S Feb 18, 2022 at 15:29 history made wiki Post Made Community Wiki by user21820