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Shape and Morse theory of attractors

✍ Scribed by Lev Kapitanski; Igor Rodnianski

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
418 KB
Volume
53
Category
Article
ISSN
0010-3640

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✦ Synopsis

We study the shape (in the sense of Borsuk) of attractors of continuous semidynamical systems on general metric spaces. We show, in particular, that the natural inclusion of the global attractor into the state space is a shape equivalence. This and other results of the paper are used to develop an elementary Morse theory of an attractor.

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