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Some Basic Constructions

  • Martin R. Bridson
  • André Haefliger
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 319)

Abstract

In this section we describe some basic constructions that allow one to manufacture interesting new metric spaces out of more familiar ones. We consider whether such properties as being a geodesic space are preserved by these constructions. Each of the constructions which we consider here will play a significant role in Part II.

Keywords

Equivalence Relation Disjoint Union Triangle Inequality Length Space Geodesic Segment 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Martin R. Bridson
    • 1
  • André Haefliger
    • 2
  1. 1.Mathematical InstituteUniversity of OxfodOxfordGreat Britain
  2. 2.Section de MathématiquesUniversité de GenèveGenève 24Switzerland

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