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The persistence of \(\omega\)-limit sets under perturbation of the generating function.

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Publication:1852437
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zbMath1056.26019MaRDI QIDQ1852437

Timothy H. Steele

Publication date: 5 January 2003

Published in: Real Analysis Exchange (Search for Journal in Brave)


zbMATH Keywords

perturbationssemicontinuitytopological entropy\(\omega\)-limit setset-valued functioniterative stability of continuous functions


Mathematics Subject Classification ID

Set-valued functions (26E25) Set-valued maps in general topology (54C60)


Related Items (3)

Continuity of the maps \(f\mapsto\bigcup_{x\in I}\omega(x,f)\) and \(f\mapsto\{\omega(x,f):x\in I\}\) ⋮ Unnamed Item ⋮ The persistence of \(\omega\)-limit sets defined on compact spaces




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