Hyperfiniteness on Topological Ramsey Spaces
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911429026643968 |
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| author | Bursics, Balázs Vidnyánszky, Zoltán |
| author_facet | Bursics, Balázs Vidnyánszky, Zoltán |
| contents | We investigate the behavior of countable Borel equivalence relations (CBERs) on topological Ramsey spaces. First, we give a simple proof of the fact that every CBER on $[\mathbb{N}]^{\mathbb{N}}$ is hyperfinite on some set of the form $[A]^{\mathbb{N}}$. Using the idea behind the proof, we show the analogous result for every topological Ramsey space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_01315 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hyperfiniteness on Topological Ramsey Spaces Bursics, Balázs Vidnyánszky, Zoltán Logic 03E15 (Primary) 68Q17 (Secondary) We investigate the behavior of countable Borel equivalence relations (CBERs) on topological Ramsey spaces. First, we give a simple proof of the fact that every CBER on $[\mathbb{N}]^{\mathbb{N}}$ is hyperfinite on some set of the form $[A]^{\mathbb{N}}$. Using the idea behind the proof, we show the analogous result for every topological Ramsey space. |
| title | Hyperfiniteness on Topological Ramsey Spaces |
| topic | Logic 03E15 (Primary) 68Q17 (Secondary) |
| url | https://arxiv.org/abs/2412.01315 |