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Descriptive Set Theory is the study of definable subsets of Polish spaces, where definable is taken to mean from the Borel or projective hierarchies. Other topics include infinite games and determinacy, definable equivalence relations and Borel reductions between them, Polish groups, and effective descriptive set theory.
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Trees of prescribed ordinal
My question is very imprecise, as I know very little about descriptive set theory.
In a problem I am thinking about I have a family of well-founded trees (finite sequences on $\cup_n X^n$ closed under …