The existence of suitable sets in locally compact strongly topological gyrogroups
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912943657975808 |
|---|---|
| author | Yang, Jiajia He, Jiamin Lin, Fucai |
| author_facet | Yang, Jiajia He, Jiamin Lin, Fucai |
| contents | A subset $S$ of a topological gyrogroup $G$ is said to be a {\it suitable set} for $G$ if $S$ is discrete, the gyrogroup generated by $S$ is dense in $G$, and $S\cup \{0\}$ is closed in $G$, where $0$ is the identity element of $G$. In this paper, it is proved that every locally compact strongly topological gyrogroup has a suitable set, which gives an affirmative answer to a question posed by F. Lin, et al. in \cite{key14}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_10907 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The existence of suitable sets in locally compact strongly topological gyrogroups Yang, Jiajia He, Jiamin Lin, Fucai General Topology Group Theory 22A15, 54D45, 54H11, 54H99 A subset $S$ of a topological gyrogroup $G$ is said to be a {\it suitable set} for $G$ if $S$ is discrete, the gyrogroup generated by $S$ is dense in $G$, and $S\cup \{0\}$ is closed in $G$, where $0$ is the identity element of $G$. In this paper, it is proved that every locally compact strongly topological gyrogroup has a suitable set, which gives an affirmative answer to a question posed by F. Lin, et al. in \cite{key14}. |
| title | The existence of suitable sets in locally compact strongly topological gyrogroups |
| topic | General Topology Group Theory 22A15, 54D45, 54H11, 54H99 |
| url | https://arxiv.org/abs/2507.10907 |