Abstract
In this paper, we give a criterion of whether there are non-wandering expanding maps on a given branched 1-manifold. As an application, we give an example of a dynamic on a 3-manifold having non-zero first Betti number, the non-wander sets of which are two Smale-Williams solenoids.
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Du, X.M. Non-wandering expanding maps on branched 1-manifolds and Smale-Williams solenoids. Acta. Math. Sin.-English Ser. 30, 1083–1088 (2014). https://doi.org/10.1007/s10114-013-2434-3
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DOI: https://doi.org/10.1007/s10114-013-2434-3