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Generalized horseshoe maps and inverse limits. (English) Zbl 0723.58034
The now-classical example due to Smale, the horseshoe map, displays interesting dynamics as well as a topologically complicated attractor. In 1986 Marcy Barge showed that the full attracting sets of horseshoe maps are homeomorphic to inverse limits of the unit interval with a single bonding map. In this paper we extend Barge’s results to more general class of maps.
Reviewer: S.E.Holte (Rolla)

MSC:
37C70 Attractors and repellers of smooth dynamical systems and their topological structure
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