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Planar embeddings of inverse limit spaces of unimodal maps

✍ Scribed by Henk Bruin

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
184 KB
Volume
96
Category
Article
ISSN
0166-8641

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✦ Synopsis

For an arbitrary C r unimodal map f , its inverse limit space X is embedded in a planar region W in such a way that the induced homeomorphism f : X β†’ X conjugates to a Lipschitz map g : A βŠ‚ W β†’ A. Furthermore g can be extended, in a C r manner, to the rest of W . In the course of the proof a characterization of the endpoints of X in terms of symbolic dynamics is given.

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