d-Boolean algebras and their bitopological representation
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_ | 1866911394503327744 |
|---|---|
| author | Yang, Hang Zhang, Dexue |
| author_facet | Yang, Hang Zhang, Dexue |
| contents | We present a Stone duality for bitopological spaces in analogy to the duality between Stone spaces and Boolean algebras, in the same vein as the duality between d-sober bitopological spaces and spatial d-frames established by Jung and Moshier. Precisely, we introduce the notion of d-Boolean algebras and prove that the category of such algebras is dually equivalent to the category of compact and zero-dimensional bitopological spaces satisfying the T0 separation axiom. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_17806 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | d-Boolean algebras and their bitopological representation Yang, Hang Zhang, Dexue General Topology 54E55, 18F70, 06E75 We present a Stone duality for bitopological spaces in analogy to the duality between Stone spaces and Boolean algebras, in the same vein as the duality between d-sober bitopological spaces and spatial d-frames established by Jung and Moshier. Precisely, we introduce the notion of d-Boolean algebras and prove that the category of such algebras is dually equivalent to the category of compact and zero-dimensional bitopological spaces satisfying the T0 separation axiom. |
| title | d-Boolean algebras and their bitopological representation |
| topic | General Topology 54E55, 18F70, 06E75 |
| url | https://arxiv.org/abs/2505.17806 |