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Plane Curves: The Global Theory

  • Marcel Berger
  • Bernard Gostiaux
Chapter
  • 2.7k Downloads
Part of the Graduate Texts in Mathematics book series (GTM, volume 115)

Abstract

In this chapter we will study immersions of the circle in the plane, called closed curves, and embeddings of the circle in the plane, called simple closed curves. Naturally, the interesting objects are equivalence classes of such immersions or embeddings.

Keywords

Closed Curve Double Point Isoperimetric Inequality Closed Curf Plane Curf 
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 Science+Business Media New York 1988

Authors and Affiliations

  • Marcel Berger
    • 1
  • Bernard Gostiaux
    • 2
  1. 1.I.H.E.S.Bures-sur-YvetteFrance
  2. 2.Le PerreuxFrance

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