Morse Functions

Part of the Universitext book series (UTX)


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.


Smooth Function Smooth Manifold Morse Function Homology Equation Nondegenerate Critical Point 
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Copyright information

© Springer Science+Business Media, Inc. 2007

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