Unicoherence in Locales
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_ | 1866915582924816384 |
|---|---|
| author | Caviglia, Elena Mesiti, Luca Rathilal, Cerene |
| author_facet | Caviglia, Elena Mesiti, Luca Rathilal, Cerene |
| contents | In this paper, we generalize the concept of unicoherence to the context of frames. Unicoherence, originally introduced by Kuratowski, is a connectedness property that is well studied in classical topology and used to detect holes of a space. We extend the notion of unicoherence to locales and we then investigate its properties. In particular, we prove that many of the known characterizations of unicoherence for topological spaces extend to the setting of locales. Some of these characterizations interestingly involve separation properties for locales. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_24426 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Unicoherence in Locales Caviglia, Elena Mesiti, Luca Rathilal, Cerene General Topology 06D22, 54F55, 54D05 In this paper, we generalize the concept of unicoherence to the context of frames. Unicoherence, originally introduced by Kuratowski, is a connectedness property that is well studied in classical topology and used to detect holes of a space. We extend the notion of unicoherence to locales and we then investigate its properties. In particular, we prove that many of the known characterizations of unicoherence for topological spaces extend to the setting of locales. Some of these characterizations interestingly involve separation properties for locales. |
| title | Unicoherence in Locales |
| topic | General Topology 06D22, 54F55, 54D05 |
| url | https://arxiv.org/abs/2510.24426 |