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- W2059798149 abstract "The topological entropy of a continuous map of the interval is the supremum of the topological entropies of the piecewise linear maps associated to its finite invariant sets. We show that for transitive maps, this supremum is attained at some finite invariant set if and only if the map is piecewise monotone and the set contains the endpoints of the interval and the turning points of the map." @default.
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- W2059798149 date "1991-10-01" @default.
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- W2059798149 title "On the topological entropy of transitive maps of the interval" @default.
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- W2059798149 doi "https://doi.org/10.1017/s0004972700029634" @default.
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