Martin's conjecture for regressive functions on the hyperarithmetic degrees
Logic
2024-02-13 v2
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.
Cite
@article{arxiv.2306.05746,
title = {Martin's conjecture for regressive functions on the hyperarithmetic degrees},
author = {Patrick Lutz},
journal= {arXiv preprint arXiv:2306.05746},
year = {2024}
}
Comments
13 pages