Wadge Hierarchy - Other Notions of Degree

Other Notions of Degree

Similar notions of reduction and degree arise by replacing the continuous functions by any class of functions F which contains the identity function and is closed under composition. Write ≤F if for some function in F. Any such class of functions again determines a preorder on the subsets of Baire space. Degrees given by Lipschitz functions are called Lipschitz degrees, and degrees from Borel functions Borel-Wadge degrees.

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