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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2507.19506 |
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| _version_ | 1866916866766667776 |
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| author | Jin, Ying-Ying Wang, Yi-Ting Xie, Li-Hong |
| author_facet | Jin, Ying-Ying Wang, Yi-Ting Xie, Li-Hong |
| contents | In this paper, we mainly prove that if $H$ is a closed strong subgyrogroup of a strongly topological gyrogroup $G$ and $H$ is neutral, then
(1) $G/H$ is biradial if and only if $G/H$ is nested;
(2) $G/H$ is metrizable if and only if $G/H$ is a biradial space with countable pseudocharacter;
(3) $G/H$ is metrizable if and only if $G/H$ has countable $cn$-character, given that $G/H$ has the Baire property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_19506 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Weak countability axioms on the quotient spaces of topological gyrogroups Jin, Ying-Ying Wang, Yi-Ting Xie, Li-Hong General Topology In this paper, we mainly prove that if $H$ is a closed strong subgyrogroup of a strongly topological gyrogroup $G$ and $H$ is neutral, then (1) $G/H$ is biradial if and only if $G/H$ is nested; (2) $G/H$ is metrizable if and only if $G/H$ is a biradial space with countable pseudocharacter; (3) $G/H$ is metrizable if and only if $G/H$ has countable $cn$-character, given that $G/H$ has the Baire property. |
| title | Weak countability axioms on the quotient spaces of topological gyrogroups |
| topic | General Topology |
| url | https://arxiv.org/abs/2507.19506 |