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Full Topological entropy of Xiong chaotic sets beyond the specification property
In this paper, we show that for a shift dynamical system $(X_{\mathcal{L}}, σ)$ with a weakened form of the specification property, there exists a Xiong chaotic set $C$ of $X_{\mathcal{L}}$ with full topological entropy everywhere (i.e. the intersection of $C$ and arbitrary non-empty open subset of
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