The lattice of ordinable topologies

Nestor Pachón Rubiano

Publicado

2013-07-01

The lattice of ordinable topologies

Palabras clave:

Ordinable element in an ordered set, lattice, ultratopologies. (es)

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Autores/as

Nestor Pachón Rubiano Universidad Nacional de Colombia

Resumen (es)

We demonstrate that the ordinable topologies for a set X are

precisely those that occupy the upper part of the lattice of topologies for X, and that they determine a lattice, not always complete or distributive. We also found the amount of complements, and principal complements, for certain

ordinable topologies, generalizing a known result of P. S. Schnare.

Cómo citar

APA

Pachón Rubiano, N. (2013). The lattice of ordinable topologies. Boletín de Matemáticas, 20(2), 109–123. https://revistas.unal.edu.co/index.php/bolma/article/view/41110

ACM

[1]

Pachón Rubiano, N. 2013. The lattice of ordinable topologies. Boletín de Matemáticas. 20, 2 (jul. 2013), 109–123.

ACS

(1)

Pachón Rubiano, N. The lattice of ordinable topologies. Bol. Matemáticas 2013, 20, 109-123.

ABNT

PACHÓN RUBIANO, N. The lattice of ordinable topologies. Boletín de Matemáticas, [S. l.], v. 20, n. 2, p. 109–123, 2013. Disponível em: https://revistas.unal.edu.co/index.php/bolma/article/view/41110. Acesso em: 28 dic. 2025.

Chicago

Pachón Rubiano, Nestor. 2013. «The lattice of ordinable topologies». Boletín De Matemáticas 20 (2):109-23. https://revistas.unal.edu.co/index.php/bolma/article/view/41110.

Harvard

Pachón Rubiano, N. (2013) «The lattice of ordinable topologies», Boletín de Matemáticas, 20(2), pp. 109–123. Disponible en: https://revistas.unal.edu.co/index.php/bolma/article/view/41110 (Accedido: 28 diciembre 2025).

IEEE

[1]

N. Pachón Rubiano, «The lattice of ordinable topologies», Bol. Matemáticas, vol. 20, n.º 2, pp. 109–123, jul. 2013.

MLA

Pachón Rubiano, N. «The lattice of ordinable topologies». Boletín de Matemáticas, vol. 20, n.º 2, julio de 2013, pp. 109-23, https://revistas.unal.edu.co/index.php/bolma/article/view/41110.

Turabian

Pachón Rubiano, Nestor. «The lattice of ordinable topologies». Boletín de Matemáticas 20, no. 2 (julio 1, 2013): 109–123. Accedido diciembre 28, 2025. https://revistas.unal.edu.co/index.php/bolma/article/view/41110.

Vancouver

1.

Pachón Rubiano N. The lattice of ordinable topologies. Bol. Matemáticas [Internet]. 1 de julio de 2013 [citado 28 de diciembre de 2025];20(2):109-23. Disponible en: https://revistas.unal.edu.co/index.php/bolma/article/view/41110