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.
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.
|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|
|Deposited By:||Mr Adam Field|
|Deposited On:||27 May 2010 15:42|
|Last Modified:||28 Sep 2012 10:50|
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