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Currently displaying 1 – 2 of 2

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On the structure of the space of continuous maps with zero topological entropy

Roman Hric — 1995

Mathematica Slovaca

Topological sequence entropy for maps of the circle

Roman Hric — 2000

Commentationes Mathematicae Universitatis Carolinae

A continuous map $f$ of the interval is chaotic iff there is an increasing sequence of nonnegative integers $T$ such that the topological sequence entropy of $f$ relative to $T$ , $h_{T} (f)$ , is positive ([FS]). On the other hand, for any increasing sequence of nonnegative integers $T$ there is a chaotic map $f$ of the interval such that $h_{T} (f) = 0$ ([H]). We prove that the same results hold for maps of the circle. We also prove some preliminary results concerning topological sequence entropy for maps of general compact metric...

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