Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2306.05746 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914673069129728 |
|---|---|
| author | Lutz, Patrick |
| author_facet | Lutz, Patrick |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_05746 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Martin's conjecture for regressive functions on the hyperarithmetic degrees Lutz, Patrick Logic 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. |
| title | Martin's conjecture for regressive functions on the hyperarithmetic degrees |
| topic | Logic |
| url | https://arxiv.org/abs/2306.05746 |