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Morse Functions

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 Function Smooth Manifold Morse Function Homology Equation 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.

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Copyright information

© Springer Science+Business Media, Inc. 2007

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