Downloads provided by UsageCountsRelations between the completions of pseudo-metric spaces and uniform spaces.
Margalef Roig, Juan; Outerelo Domínguez, Enrique;
Relations between the completions of pseudo-metric spaces and uniform spaces.
En el párrafo 1 se describe el isomorfismo uniforme existente entre la compleción de Hausdorff de un espacio métrico y la compleción de Weil del espacio uniforme separado asociado al espacio métrico. En el párrafo 2 se construye la compleción reducida de un espacio seudométrico y se describe el isomorfismo uniforme existente entre la compleción reducida de un espacio seudométrico y la compleción reducida del espacio uniforme asociado al espacio seudométrico. Finalmente, a lo largo del párrafo 3, se homogeinizan las diversas construcciones de compleciones, según que el espacio de partida sea seudométrico, métrico, uniforme o uniforme separado.
El Instituto Jorge Juan del CSIC posteriormente se integraría en el Instituto de Matemáticas y Física Fundamental (IMAFF).
Peer reviewed
Spain
reduced completion, Baire category, Baire spaces, Uniform structures and generalizations, completion of a uniform space, Espacio topológico, minimal Cauchy filter, completion of a pseudo-metric space
reduced completion, Baire category, Baire spaces, Uniform structures and generalizations, completion of a uniform space, Espacio topológico, minimal Cauchy filter, completion of a pseudo-metric space
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