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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Detalhes bibliográficos
Autores: Bautista, Serafín, Varela, Januario
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:1997
País:Colombia
Recursos:Universidad Nacional de Colombia
Repositório:Repositorio UN
Idioma:espanhol
OAI Identifier:oai:repositorio.unal.edu.co:unal/43673
Acesso em linha:https://repositorio.unal.edu.co/handle/unal/43673
http://bdigital.unal.edu.co/33771/
Access Level:Acceso aberto
Palavra-chave:Hausdorff uniform spaces
colimits
co-completeness
Descrição
Resumo: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.