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Research on generalized sensitivity. (Chinese. English summary) Zbl 1307.54031

Summary: Let \(X\) be a compact metric space containing at least two points and let \(f:X\to x\) be continuous. We introduce the notion of totally maximum sensitivity (TMS) and proved that \(f\) is weakly mixing iff it is TMS. We particularly proved that 2-sensitivity does not imply 3-sensitivity by a counterexample.

MSC:

54E40 Special maps on metric spaces
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