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...

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Detalles Bibliográficos
Autores: Bautista, Serafín, Varela, Januario
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:1997
País:Colombia
Institución:Universidad Nacional de Colombia
Repositorio:Repositorio UN
Idioma:español
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/
Access Level:acceso abierto
Palabra clave:Hausdorff uniform spaces
colimits
co-completeness
Descripción
Sumario: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.