The Sphere for Its Own Sake

  • Marcel Berger
  • Pierre Pansu
  • Jean-Pic Berry
  • Xavier Saint-Raymond
Part of the Problem Books in Mathematics book series (PBM)

Abstract

The sphere is a compact connected topological space; for d ≥ 2, it is also simply connected, which means that every closed curve in S can be deformed into a point (such is not the case for either S 1 or P n (R)).

Keywords

Great Circle Stereographic Projection North Pole Constant Angle Spherical Triangle 
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

© Marcel Berger 1984

Authors and Affiliations

  • Marcel Berger
    • 1
  • Pierre Pansu
    • 2
  • Jean-Pic Berry
    • 3
  • Xavier Saint-Raymond
    • 3
  1. 1.U.E.R. de Mathematique et InformatiqueUniversité Paris VIIParis, Cedex 05France
  2. 2.Centre National de la Recherche ScientifiqueParisFrance
  3. 3.P.U.K.GrenobleFrance

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