Oscillating subalgebras of the atomless countable Boolean algebra
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arXiv
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| Main Authors: | , , , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916764884926464 |
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| author | Bartošová, Dana Chodounský, David Csima, Barbara Hubička, Jan Konečný, Matěj Lakerdas-Gayle, Joey Unger, Spencer Zucker, Andy |
| author_facet | Bartošová, Dana Chodounský, David Csima, Barbara Hubička, Jan Konečný, Matěj Lakerdas-Gayle, Joey Unger, Spencer Zucker, Andy |
| contents | We show that the big Ramsey degree of the Boolean algebra with 3 atoms within the countable atomless Boolean algebra is infinite. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_22603 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Oscillating subalgebras of the atomless countable Boolean algebra Bartošová, Dana Chodounský, David Csima, Barbara Hubička, Jan Konečný, Matěj Lakerdas-Gayle, Joey Unger, Spencer Zucker, Andy Logic Discrete Mathematics Combinatorics 05C55, 06E05, 03E02, 05D10 G.2.1 We show that the big Ramsey degree of the Boolean algebra with 3 atoms within the countable atomless Boolean algebra is infinite. |
| title | Oscillating subalgebras of the atomless countable Boolean algebra |
| topic | Logic Discrete Mathematics Combinatorics 05C55, 06E05, 03E02, 05D10 G.2.1 |
| url | https://arxiv.org/abs/2505.22603 |