Hausdorff closed extensions of pre-uniform spaces

• García-Máynez, Adalberto ^[2] ; Mancio-Toledo, Rubén ^[1]
  1. [1] Instituto Politécnico Nacional

     Instituto Politécnico Nacional

     México

     
  2. [2] Universidad Nacional Autónoma
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 13, Nº. 1, 2012, págs. 27-31
• Idioma: inglés
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• Resumen

  • The family of densely finite open covers of a Hausdorff space X determines a completable pre-uniformity on X and the canonical completion X is Hausdorff closed. We compare X with the Katetov extension kX of X and give sufficient conditions for the non-equivalence of kX and X.