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