A functor that reflects and preserves compactness and connectedness
We present an equivalence between the compactness of atopological space and the compactness of a quotient space obtained through a natural equivalence relation. By means of this equivalence, the study of compactness in general is reduced to that of T0 topological spaces.
- Autores:
-
Acosta, Lorenzo
Rubio, Marcela
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2005
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/73587
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/73587
http://bdigital.unal.edu.co/38063/
- Palabra clave:
- Compactness
saturated sets
T0−spaces
connectedness
Alexandroff topology
weak topology.
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | We present an equivalence between the compactness of atopological space and the compactness of a quotient space obtained through a natural equivalence relation. By means of this equivalence, the study of compactness in general is reduced to that of T0 topological spaces. |
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