There are many articles on Baire 1 functions, but not many on Baire 2 and above. Where can I find a nice comprehensive survey of them?
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1$\begingroup$ Not a survey specifically, but have you seen math.stackexchange.com/questions/614429/… and mathoverflow.net/questions/301627/… ? $\endgroup$ – Nate Eldredge Mar 4 at 1:39

$\begingroup$ I have seen the first but not the second. Thanks! $\endgroup$ – James Baxter Mar 4 at 1:44
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You may find something useful in Kuratowski, Topology, Volume 1 $\S 31$