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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.13031 |
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| _version_ | 1866911077233590272 |
|---|---|
| author | Peng, Dekui |
| author_facet | Peng, Dekui |
| contents | Let $G$ be an infinite compact group. We prove that for every cardinal $κ$ between the density and the weight of $G$, there exists a dense subgroup of $G$ of density $κ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_13031 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dense Subgroups of Prescribed Density Peng, Dekui Group Theory Let $G$ be an infinite compact group. We prove that for every cardinal $κ$ between the density and the weight of $G$, there exists a dense subgroup of $G$ of density $κ$. |
| title | Dense Subgroups of Prescribed Density |
| topic | Group Theory |
| url | https://arxiv.org/abs/2507.13031 |