The Structure Of Compact Groups —— A Primer for Students - A Handbook for the Expert

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ISBN: 9783110190069 出版年：2008 页码：876 Hofmann, Karl H Morris, Sidney A 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 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.