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Quasi-metric and metric spaces. (English) Zbl 1113.54014
Summary: We give a short review of a construction of Frink to obtain a metric space from a quasi-metric space. By an example we illustrate the limits of the construction.

MSC:
54E35 Metric spaces, metrizability
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References:
[1] Mario Bonk and Thomas Foertsch, Asymptotic upper curvature bounds in coarse geometry, Math. Z. 253 (2006), no. 4, 753 – 785. · Zbl 1104.53036
[2] S. Buyalo and V. Schroeder, Elements of asymptotic geometry, book, to appear. · Zbl 1125.53036
[3] A. H. Frink, Distance functions and the metrization problem, Bull. AMS 43 (1937), 133-142. · JFM 63.0571.03
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