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Asymptotic arc-components of unimodal inverse limit spaces

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
Depositing User: Mr Adam Field
Date Deposited: 27 May 2010 14:42
Last Modified: 23 Sep 2013 18:33
URI: http://epubs.surrey.ac.uk/id/eprint/1552

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