Circle-valued Morse Theory (eBook)
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2006
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1. Auflage
463 Seiten
Walter de Gruyter GmbH & Co.KG (Verlag)
978-3-11-019797-6 (ISBN)
463 Seiten
Walter de Gruyter GmbH & Co.KG (Verlag)
978-3-11-019797-6 (ISBN)
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.
Andrei Pajitnov, University of Nantes, France.
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Andrei Pajitnov, University of Nantes, France.