The δ-completion of a quasi-pseudometric space

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Peer-Reviewed Research
  • SDG 17
  • SDG 8
  • SDG 7
  • Abstract:

    We present a notion of completeness and a completion for a quasi-pseudometric space. In this article, we extend the construction of κ-completion of Andrikopoulos via Cauchy filter pairs which are not balanced in the sense of Künzi and Makitu [6]. We give an alternative illustration of the fact that on a quasi-pseudometric space, a convergent Cauchy filter pair need not be balanced.