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This tag is used if a reference is needed in a paper or textbook on a specific result.

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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_ …