Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9516818 | Topology and its Applications | 2005 | 19 Pages |
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 substitution tiling space approach taken by Barge and Diamond [Ergodic Theory Dynamical Systems 21 (2001) 1333].
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
H. Bruin,