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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.16162 |
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| _version_ | 1866911311746564096 |
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| author | Estrada, Carlos Pérez Ramos-García, Ulises Ariet |
| author_facet | Estrada, Carlos Pérez Ramos-García, Ulises Ariet |
| contents | We prove that every Polish group with more than two elements admits a non-trivial topological group automorphism. As a consequence, a hypothetical uniquely homogeneous Polish space with more than two points cannot be a semitopological group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_16162 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Every Polish group has a non-trivial topological group automorphism Estrada, Carlos Pérez Ramos-García, Ulises Ariet Logic 03E15, 54H11 We prove that every Polish group with more than two elements admits a non-trivial topological group automorphism. As a consequence, a hypothetical uniquely homogeneous Polish space with more than two points cannot be a semitopological group. |
| title | Every Polish group has a non-trivial topological group automorphism |
| topic | Logic 03E15, 54H11 |
| url | https://arxiv.org/abs/2408.16162 |