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Morse Functions

  • Liviu NicolaescuEmail author
Chapter
Part of the Universitext book series (UTX)

Abstract

In this first chapter, we introduce the reader to the main characters of our story, namely, the Morse functions, and we describe the properties which make them so useful. We describe their very special local structure (Morse lemma) and then we show that there are plenty of them around.

Keywords

Smooth Manifold Height Function Morse Function Coarea Formula Nondegenerate Critical Point 
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.

Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of Notre DameNotre DameUSA

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