科研之友
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摘要
Let (f(n)) be a given sequence of continuous selfmaps of a compact metric space X which converges uniformly to a continuous selfmap f of the compact metric space X. In this note, we present a counterexample which shows that Theorems 3.9-3.11 obtained by us in [Chaos, Solitons and Fractals 45 (2012) 759-764] are not true and give the correct proofs of Theorems 3.4-3.7 in [Chaos, Solitons and Fractals 45 (2012) 759-764]. We also obtain a equivalence condition for the uniform map f to be syndetically sensitive or cofinitely sensitive or multi-sensitive or ergodically sensitive and a sufficient condition the uniform map f to be totally transitive or topologically weak mixing.
- 出版日期2014-2
- 单位广东海洋大学
