Abstract

Let S be a set. By a distance function on S one means a function d(x,y) of pairs of elements of S, with values in the real numbers, satisfying the following conditions:
  • d(x, y)≥ 0 for all x, y∈ S, and = 0 if and only if x = y.

  • d(x, y) = d(y,x) for all x,yS.

  • d(x, y) ≤ d(x, z) + d(z,y) for all x, y, zS.

Keywords

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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • Rami Shakarchi
    • 1
  1. 1.Department of MathematicsPrinceton UniversityPrincetonUSA

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