An \(\omega \)-limit set for a Lipschitz function with zero topological entropy
type: Item
instance of: scholarly article
title: An \(\omega \)-limit set for a Lipschitz function with zero topological entropy
zbMATH Open document ID: 0945.37006
published in: Real Analysis Exchange
publication date: 2000-05-21T00:00:00Z
review text: If \(Q\) is the classical Cantor set on \([0,1]\) and \(C\) is the countable set of midpoints of the intervals complementary to \(Q\) together with the one-point set \(\{-\frac {1}{6}\}\) then a zero topological entropy Lipschitz function \(f\) mapping \([-\frac {1}{4},1]\) into itself is constructed in such a way that the set \(Q\cup C\) is its \(\omega \)-limit set.
reviewed by: Štefan Schwabik
Mathematics Subject Classification ID: 37B40
Mathematics Subject Classification ID: 37C70
Mathematics Subject Classification ID: 26A18
zbMATH DE Number: 1449422
zbMATH Keywords: \(\omega \)-limit set
zbMATH Keywords: Lipschitz function
zbMATH Keywords: topological entropy
author: Timothy H. Steele
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1449422