Abstract

In this paper some formulas of supremum topological sequence entropy htop∞(f) are investigated for circle maps. If f is a circle map then htop∞(f)=htop∞(f|E(f)‾), where E(f)‾ is the closure of the set of eventually periodic points of f; If f is a circle map with zero topological entropy and Fix(f)≠∅ then htop∞(f|Ω(f))=0, where Ω(f) denotes the set of non-wandering points of f.

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