Band of topological groups
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866918047505186816 |
|---|---|
| author | Maity, Sunil Kumar Paul, Monika |
| author_facet | Maity, Sunil Kumar Paul, Monika |
| contents | In this article, we construct a band of topological groups from a cryptogroup. Also, we prove that a band of topological groups is metrizable if and only if each $\mathcal{H}$-class is metrizable. Finally, we demonstrate that if $S$ is a band of topological groups and $N$ is a full normal subcryptogroup of $S$, then $S/N$ is Hausdorff if and only if $ρ_{_N}$ is closed in $S \times S$ if and, $ρ_{_N}$ is closed in $S \times S$ if and only if $N$ is closed in $S$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_05956 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Band of topological groups Maity, Sunil Kumar Paul, Monika Group Theory General Topology In this article, we construct a band of topological groups from a cryptogroup. Also, we prove that a band of topological groups is metrizable if and only if each $\mathcal{H}$-class is metrizable. Finally, we demonstrate that if $S$ is a band of topological groups and $N$ is a full normal subcryptogroup of $S$, then $S/N$ is Hausdorff if and only if $ρ_{_N}$ is closed in $S \times S$ if and, $ρ_{_N}$ is closed in $S \times S$ if and only if $N$ is closed in $S$. |
| title | Band of topological groups |
| topic | Group Theory General Topology |
| url | https://arxiv.org/abs/2506.05956 |