Abstract

For each Borel set of reals of infinite rank A we obtain a “normal form” of A by finding a Borel set Ω such that A and Ω continuously reduce to each other. We do so by defining simple Borel operations which are homomorphic to the ω 1 first Veblen ordinal operations of base ω 1 required to compute the Wadge degree of a Borel set.

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