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Li-Yorke chaos for dendrite maps with zero topological entropy and <i>ω</i>-limit sets
Let X be a dendrite with set of endpoints $E(X)$ closed and let $f:~X \to X$ be a continuous map with zero topological entropy. Let $P(f)$ be the set of periodic points of f and let L be an ω-limit set of f. We prove that if L is infinite …