Any countable topological $\mathbb F_p$-vector space has a closed discrete basis
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arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866911693613826048 |
|---|---|
| author | Sipacheva, Ol'ga |
| author_facet | Sipacheva, Ol'ga |
| contents | It is proved that any countable topological vector space over a finite field $\mathbb F_p$ or, equivalently, any countable Abelian topological group of prime exponent has a closed discrete basis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_07948 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Any countable topological $\mathbb F_p$-vector space has a closed discrete basis Sipacheva, Ol'ga General Topology Group Theory 22A05, 54F45 It is proved that any countable topological vector space over a finite field $\mathbb F_p$ or, equivalently, any countable Abelian topological group of prime exponent has a closed discrete basis. |
| title | Any countable topological $\mathbb F_p$-vector space has a closed discrete basis |
| topic | General Topology Group Theory 22A05, 54F45 |
| url | https://arxiv.org/abs/2604.07948 |