Martin's conjecture for regressive functions on the hyperarithmetic degrees

Patrick Lutz

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arXiv · 2306.05746

Martin's conjecture for regressive functions on the hyperarithmetic degrees

Patrick Lutz

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Abstract

We answer a question of Slaman and Steel by showing that a version of Martin's conjecture holds for all regressive functions on the hyperarithmetic degrees. A key step in our proof, which may have applications to other cases of Martin's conjecture, consists of showing that we can always reduce to the case of a continuous function.

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BibTeX RIS

Patrick Lutz. 2023-06-09. Martin's conjecture for regressive functions on the hyperarithmetic degrees. https://arxiv.org/abs/2306.05746

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