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Circle-valued Morse Theory
     

Circle-valued Morse Theory

by Andrei V. Pajitnov
 

ISBN-10: 3110158078

ISBN-13: 9783110158076

Pub. Date: 12/19/2006

Publisher: De Gruyter

In 1927 M. Morse discovered that the number of critical points of a smooth function on a manifold is closely related to the topology of the manifold. This became a starting point of the Morse theory which is now one of the basic parts of differential topology. It is a large and actively developing domain of differential topology, with applications and connections

Overview

In 1927 M. Morse discovered that the number of critical points of a smooth function on a manifold is closely related to the topology of the manifold. This became a starting point of the Morse theory which is now one of the basic parts of differential topology. It is a large and actively developing domain of differential topology, with applications and connections to many geometrical problems. The aim of the present book is to give a systematic treatment of the geometric foundations of a subfield of that topic, the circle-valued Morse functions, a subfield of Morse theory.

Product Details

ISBN-13:
9783110158076
Publisher:
De Gruyter
Publication date:
12/19/2006
Series:
De Gruyter Studies in Mathematics Series , #32
Pages:
463
Product dimensions:
6.69(w) x 9.61(h) x 1.00(d)
Age Range:
18 Years

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