Intrinsic Quasi-Metrics

MALAYSIAN MATHEMATICAL SCIENCES SOC
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The point pair function p(G) defined in a domain G not subset of R-n is shown to be a quasimetric, and its other properties are studied. For a convex domain G not subset of R-n, a new intrinsic quasi-metric called the function wG is introduced. Several sharp results are established for these two quasi-metrics, and their connection to the triangular ratio metric is studied.

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