Connected Components of the Space of Circle-Valued Morse Functions on Surfaces

Connected Components of the Space of Circle-Valued Morse Functions on Surfaces
Author: Sergey Maksymenko
Publisher:
Total Pages: 10
Release: 2018
Genre:
ISBN:


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We classify the path-components of the space of circle-valued Morse functions on compact surfaces: two Morse functions f,g : → belong to same path-component of this space if and only if they are homotopic and have equal numbers of critical points at each index.


Connected Components of the Space of Circle-Valued Morse Functions on Surfaces
Language: en
Pages: 10
Authors: Sergey Maksymenko
Categories:
Type: BOOK - Published: 2018 - Publisher:

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We classify the path-components of the space of circle-valued Morse functions on compact surfaces: two Morse functions f,g : → belong to same path-component o
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Categories: Mathematics
Type: BOOK - Published: 2006-01-01 - Publisher: Walter de Gruyter

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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 becam
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Categories:
Type: BOOK - Published: 2008 - Publisher:

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Type: BOOK - Published: 1984 - Publisher:

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Type: BOOK - Published: 2013-04-17 - Publisher: Springer Science & Business Media

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