Asymptotic arc-components of unimodal inverse limit spaces
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Bruin, Henk (2005) Asymptotic arc-components of unimodal inverse limit spaces Topology and its applications . pp. 182-200.
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Abstract
We consider the inverse limit space (I,f) of a unimodal bonding map f as fixed bonding map. If f has a periodic turning point, then (I,f) has a finite non-empty set of asymptotic arc-components. We show how asymptotic arc-components can be determined from the kneading sequence of f. This gives an alternative to the substitiution tiling space approach taken by Barge & Diamond.
| Item Type: | Article |
|---|---|
| Additional Information: | This is a pre-copy-editing, author-prepared, peer-reviewed PDF of an article published in Topology and its applications 152 182-200. © 2005 Elsevier Inc. All rights reserved. |
| Uncontrolled Keywords: | dynamical systems, inverse limit spaces |
| Divisions: | Faculty of Engineering and Physical Sciences > Mathematics |
| ID Code: | 1552 |
| Deposited By: | Mr Adam Field |
| Deposited On: | 27 May 2010 15:42 |
| Last Modified: | 28 Sep 2012 10:50 |
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