The Borel Ramsey properties for countable Borel equivalence relations
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909554514591744 |
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| author | Gao, Su Xiao, Ming |
| author_facet | Gao, Su Xiao, Ming |
| contents | We define some natural notions of strong and weak Borel Ramsey properties for countable Borel equivalence relations and show that they hold for a countable Borel equivalence relation if and only if the equivalence relation is smooth. We also consider some variation of the notion for hyperfinite non-smooth Borel equivalence relations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_14605 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Borel Ramsey properties for countable Borel equivalence relations Gao, Su Xiao, Ming Logic Combinatorics Primary 03E15, Secondary 05C55 We define some natural notions of strong and weak Borel Ramsey properties for countable Borel equivalence relations and show that they hold for a countable Borel equivalence relation if and only if the equivalence relation is smooth. We also consider some variation of the notion for hyperfinite non-smooth Borel equivalence relations. |
| title | The Borel Ramsey properties for countable Borel equivalence relations |
| topic | Logic Combinatorics Primary 03E15, Secondary 05C55 |
| url | https://arxiv.org/abs/2401.14605 |