Circle-valued Morse Theory / Libristo.pl
Circle-valued Morse Theory

Code: 02919575

Circle-valued Morse Theory

by Andrei V. Pajitnov

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 p ... more

1587.82


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Book synopsis

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.

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Book category Books in English Mathematics & science Mathematics Topology

1587.82

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