Borel-amenable Reducibilities for Sets of Reals

Luca Motto Ros

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arXiv · 0804.4800

Borel-amenable Reducibilities for Sets of Reals

Luca Motto Ros

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Abstract

We show that if $\mathcal{F}$ is any "well-behaved" subset of the Borel functions and we assume the Axiom of Determinacy then the hierarchy of degrees on $\pow(\mathbb{R})$ induced by $\mathcal{F}$ turns out to look like the Wadge hierarchy (which is the special case where $\mathcal{F}$ is the set of continuous functions).

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BibTeX RIS

Luca Motto Ros. 2008-04-30. Borel-amenable Reducibilities for Sets of Reals. https://arxiv.org/abs/0804.4800

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