The epimorphism relation among countable groups is a complete analytic quasi-order
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915952437755904 |
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| author | Gao, Su Li, Feng Nies, André Paolini, Gianluca |
| author_facet | Gao, Su Li, Feng Nies, André Paolini, Gianluca |
| contents | We prove that the epimorphism relation is a complete analytic quasi-order on the space of countable groups. In the process, we obtain the result of independent interest that the epimorphism relation on pointed reflexive graphs is complete. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_06517 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The epimorphism relation among countable groups is a complete analytic quasi-order Gao, Su Li, Feng Nies, André Paolini, Gianluca Logic Group Theory 03E15 We prove that the epimorphism relation is a complete analytic quasi-order on the space of countable groups. In the process, we obtain the result of independent interest that the epimorphism relation on pointed reflexive graphs is complete. |
| title | The epimorphism relation among countable groups is a complete analytic quasi-order |
| topic | Logic Group Theory 03E15 |
| url | https://arxiv.org/abs/2511.06517 |