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The Ultra-Quasi-Metrically Injective Hull of a T 0-Ultra-Quasi-Metric Space

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Abstract

Jointly with E. Kemajou, in previous work we constructed the so-called Isbell-hull of a T 0-quasi-metric space. In this article we continue these investigations by presenting a similar construction in the category of T 0-ultra-quasi-metric spaces and contracting maps. Comparable studies in the area of ultra-metric spaces have been conducted before by Bayod and Martínez-Maurica.

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Authors and Affiliations

  1. Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch, 7701, South Africa

    Hans-Peter A. Künzi & Olivier Olela Otafudu

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  1. Hans-Peter A. Künzi
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  2. Olivier Olela Otafudu
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Correspondence to Hans-Peter A. Künzi.

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Dedicated to Professor George Janelidze on the occasion of his sixtieth birthday.

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Künzi, HP.A., Otafudu, O.O. The Ultra-Quasi-Metrically Injective Hull of a T 0-Ultra-Quasi-Metric Space. Appl Categor Struct 21, 651–670 (2013). https://doi.org/10.1007/s10485-012-9279-2

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  • DOI: https://doi.org/10.1007/s10485-012-9279-2

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