Stability in the family of \(\omega \)-limit sets of continuous maps of the interval

zbMath0888.26003MaRDI QIDQ1382440

Andrew M. Bruckner

Publication date: 29 March 1998

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

zbMATH Keywords

stabilityiteration\(\omega \)-limit setcontinuous self map

Mathematics Subject Classification ID

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

Related Items (6)

Continuity of the maps \(f\mapsto\bigcup_{x\in I}\omega(x,f)\) and \(f\mapsto\{\omega(x,f):x\in I\}\) ⋮ Unnamed Item ⋮ Self-similarity in the collection of \(\omega \)-limit sets ⋮ Stability in the family of \(\omega \)-limit sets of alternating systems ⋮ The persistence of \(\omega\)-limit sets defined on compact spaces ⋮ Stability of asymptotically stable sets for continuous functions

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