The lattice of ordinable topologies
We demonstrate that the ordinable topologies for a set X areprecisely 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 certainordinable...
- Autores:
-
Pachón Rubiano, Nestor
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2013
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/73888
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/73888
http://bdigital.unal.edu.co/38365/
- Palabra clave:
- Ordinable element in an ordered set
lattice
ultratopologies.
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | We demonstrate that the ordinable topologies for a set X areprecisely 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 certainordinable topologies, generalizing a known result of P. S. Schnare. |
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