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Results tagged with descriptive-set-theory
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user 144261
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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Borel / Wadge hierarchies on subsets closed under prepending a finite prefix
I'm interested in subsets $X$ of the Cantor space ($2^\omega$) or the Baire space ($\omega^\omega$) that are closed under prepending an arbitrary finite prefix:
$$
(x_1, x_2, \dots) \in X \implies (s_ …
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