Publicado
2006-01-01
AN EXTENSION OF THE STONE DUALITY: THE EXPANDED VERSION
Palabras clave:
Stone duality, Boolean rings, quotients of Stone spaces, continua, Cantor space (es)Descargas
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.
Cómo citar
APA
Sabogal, S. (2006). AN EXTENSION OF THE STONE DUALITY: THE EXPANDED VERSION. Boletín de Matemáticas, 13(1), 1–19. https://revistas.unal.edu.co/index.php/bolma/article/view/40440
ACM
[1]
Sabogal, S. 2006. AN EXTENSION OF THE STONE DUALITY: THE EXPANDED VERSION. Boletín de Matemáticas. 13, 1 (ene. 2006), 1–19.
ACS
(1)
Sabogal, S. AN EXTENSION OF THE STONE DUALITY: THE EXPANDED VERSION. Bol. Mat. 2006, 13, 1-19.
ABNT
SABOGAL, S. AN EXTENSION OF THE STONE DUALITY: THE EXPANDED VERSION. Boletín de Matemáticas, [S. l.], v. 13, n. 1, p. 1–19, 2006. Disponível em: https://revistas.unal.edu.co/index.php/bolma/article/view/40440. Acesso em: 24 abr. 2024.
Chicago
Sabogal, Sonia. 2006. «AN EXTENSION OF THE STONE DUALITY: THE EXPANDED VERSION». Boletín De Matemáticas 13 (1):1-19. https://revistas.unal.edu.co/index.php/bolma/article/view/40440.
Harvard
Sabogal, S. (2006) «AN EXTENSION OF THE STONE DUALITY: THE EXPANDED VERSION», Boletín de Matemáticas, 13(1), pp. 1–19. Disponible en: https://revistas.unal.edu.co/index.php/bolma/article/view/40440 (Accedido: 24 abril 2024).
IEEE
[1]
S. Sabogal, «AN EXTENSION OF THE STONE DUALITY: THE EXPANDED VERSION», Bol. Mat., vol. 13, n.º 1, pp. 1–19, ene. 2006.
MLA
Sabogal, S. «AN EXTENSION OF THE STONE DUALITY: THE EXPANDED VERSION». Boletín de Matemáticas, vol. 13, n.º 1, enero de 2006, pp. 1-19, https://revistas.unal.edu.co/index.php/bolma/article/view/40440.
Turabian
Sabogal, Sonia. «AN EXTENSION OF THE STONE DUALITY: THE EXPANDED VERSION». Boletín de Matemáticas 13, no. 1 (enero 1, 2006): 1–19. Accedido abril 24, 2024. https://revistas.unal.edu.co/index.php/bolma/article/view/40440.
Vancouver
1.
Sabogal S. AN EXTENSION OF THE STONE DUALITY: THE EXPANDED VERSION. Bol. Mat. [Internet]. 1 de enero de 2006 [citado 24 de abril de 2024];13(1):1-19. Disponible en: https://revistas.unal.edu.co/index.php/bolma/article/view/40440
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Derechos de autor 2006 Boletín de Matemáticas
Esta obra está bajo una licencia internacional Creative Commons Atribución 4.0.