Baire reductions and good Borel reducibilities
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2010
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| _version_ | 1866913580359614464 |
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| author | Ros, Luca Motto |
| author_facet | Ros, Luca Motto |
| contents | In reference [8] we have considered a wide class of "well-behaved" reducibilities for sets of reals. In this paper we continue with the study of Borel reducibilities by proving a dichotomy theorem for the degree-structures induced by good Borel reducibilities. This extends and improves the results of [8] allowing to deal with a larger class of notions of reduction (including, among others, the Baire class $ξ$ functions). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1003_4632 |
| institution | arXiv |
| publishDate | 2010 |
| record_format | arxiv |
| spellingShingle | Baire reductions and good Borel reducibilities Ros, Luca Motto Logic 03E15, 03E60 In reference [8] we have considered a wide class of "well-behaved" reducibilities for sets of reals. In this paper we continue with the study of Borel reducibilities by proving a dichotomy theorem for the degree-structures induced by good Borel reducibilities. This extends and improves the results of [8] allowing to deal with a larger class of notions of reduction (including, among others, the Baire class $ξ$ functions). |
| title | Baire reductions and good Borel reducibilities |
| topic | Logic 03E15, 03E60 |
| url | https://arxiv.org/abs/1003.4632 |