Kuratowski’s theory of Borel hierarchies

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Kuratowski’s theory of Borel hierarchies is a foundational framework in descriptive set theory that classifies sets in topological spaces, such as the Baire space, into a transfinite hierarchy based on how they can be constructed from open and closed sets using countable operations.

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Baire space ω^ω appearsIn Kuratowski’s theory of Borel hierarchies