The completeness of free Boolean topological groups
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911060640923648 |
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| author | Sipacheva, Ol'ga V. Tkachenko, Mikhail G. |
| author_facet | Sipacheva, Ol'ga V. Tkachenko, Mikhail G. |
| contents | It is proved that the free Boolean topological group $B(X)$ on a Tychonoff space $X$ is Weil complete if and only if the space $X$ is Dieudonné complete. This result provides a positive answer to a question posed by the first listed author in 2015. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_12289 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The completeness of free Boolean topological groups Sipacheva, Ol'ga V. Tkachenko, Mikhail G. General Topology 22A05, 54H11 It is proved that the free Boolean topological group $B(X)$ on a Tychonoff space $X$ is Weil complete if and only if the space $X$ is Dieudonné complete. This result provides a positive answer to a question posed by the first listed author in 2015. |
| title | The completeness of free Boolean topological groups |
| topic | General Topology 22A05, 54H11 |
| url | https://arxiv.org/abs/2507.12289 |