科研之友
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摘要
Let (X, d) be a metric space and a sequence of continuous maps f(n) : X --> X that converges uniformly to a map f. We investigate the transitive subsets of f(n) whether they can be inherited by f or not. We give sufficient conditions such that the limit map f has a transitive subset. In particular, we show the transitive subsets of f(n) that can be inherited by f if f(n) converges uniformly strongly to f.
