An extension of the stone duality: the expanded version
This paper deals with a duality between two categories extending the classical Stone Duality between totally disconnected compact Hausdorff spaces (Stone spaces) and Boolean rings with unit. This duality was announced and very briefly sketched in [7]. The first category denoted by RHQS has as object...
- Autores:
-
Sabogal, Sonia
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2006
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/73596
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/73596
http://bdigital.unal.edu.co/38072/
- Palabra clave:
- Stone duality
Boolean rings
quotients of Stone spaces
continua
Cantor space
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | This paper deals with a duality between two categories extending the classical Stone Duality between totally disconnected compact Hausdorff spaces (Stone spaces) and Boolean rings with unit. This duality was announced and very briefly sketched in [7]. The first category denoted by RHQS has as objects the representations of Hausdorff quotients of Stone spaces and as morphisms all compatible continuous functions. The second category denoted by BRLR has as objects all Boolean rings with unit endowed with a link relation and as morphisms all compatible Boolean rings with unit morphisms. Furthermore, we study connectedness from an algebraic point of view, in the context of the proposed generalized Stone duality. |
|---|