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The continuity of \(f \longmapsto \bigcup _{x\in I} \omega (x,f)\) and \(f\longmapsto \{\omega (x,f):x\in I\}\). (English) Zbl 0937.26507

MSC:

26A18 Iteration of real functions in one variable
37B99 Topological dynamics
26A15 Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable
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