On the co-completeness of the category of hausdorff uniform spaces

A construction of colimits in the category of Hausdorff uniform spaces is carried out by means of a family of pseudometrics. Since this is not a topological category, its co-completeness can not be ensured by the standard procedures. A careful revision of the usual arguments is then required to this...

Full description

Autores:
Bautista, Serafín
Varela, Januario
Tipo de recurso:
Article of journal
Fecha de publicación:
1997
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/43673
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/43673
http://bdigital.unal.edu.co/33771/
Palabra clave:
Hausdorff uniform spaces
colimits
co-completeness
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary:A construction of colimits in the category of Hausdorff uniform spaces is carried out by means of a family of pseudometrics. Since this is not a topological category, its co-completeness can not be ensured by the standard procedures. A careful revision of the usual arguments is then required to this end.