Topological Entropy for Finite Invariant Subsets of Y ■
نویسندگان
چکیده
Let Y be the space {z € C: z3 £ [0, 1]} with a metric defined by the arc length. Suppose that / is a continuous map from Y to itself and P is a finite /-invariant subset. In this paper we construct a continuous map C/> from Y to itself satisfying Cp\p = f\p which achieves the infimum topological entropies of continuous maps from Y to itself which agree with / on P .
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تاریخ انتشار 2010