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Quasi-metric and metric spaces

Author(s): Viktor Schroeder
Journal: Conform. Geom. Dyn. 10 (2006), 355-360.
MSC (2000): Primary 54E35
Posted: December 26, 2006
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Abstract: 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.

References:

[BoF]
M. Bonk and Th. Foertsch, Asymptotic upper curvature bounds in coarse geometry, Math. Zeitschrift 253 no. 4 (2006), 753-785. MR 2221098

[BS]
S. Buyalo and V. Schroeder, Elements of asymptotic geometry, book, to appear.

[Fr]
A. H. Frink, Distance functions and the metrization problem, Bull. AMS 43 (1937), 133-142.

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Additional Information:

Viktor Schroeder
Affiliation: Department of Mathematics, University of Zurich, Winterthurerstrasse 190, 8006 Zurich, Switzerland
Email: vschroed@math.unizh.ch

DOI: 10.1090/S1088-4173-06-00155-X
PII: S 1088-4173(06)00155-X
Keywords: Metric spaces, metrizability
Received by editor(s): July 17, 2006
Posted: December 26, 2006
Additional Notes: The author was supported in part by SNSF
Copyright of article: Copyright 2006, American Mathematical Society

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