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Disjointness of Borel Functions

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Mathematical, Foundational and Computational Aspects of the Higher Infinite

I will sketch a proof of the following theorem: if X and Y are Polish spaces with X uncountable, then for every real A there is a Borel function f : X to Y such that if g : X to Y is any Borel function disjoint from f, then A is Delta^1_1 in any code for g. I will then discuss how to get analogous results for when f is a more complicated function.

This talk is part of the Isaac Newton Institute Seminar Series series.

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