Entropy of shift maps of the pseudo-arc
type: Item
instance of: scholarly article
title: Entropy of shift maps of the pseudo-arc
zbMATH Open document ID: 1232.54034
author: Christopher Mouron
published in: Topology and its Applications
publication date: 2011-12-06T00:00:00Z
review text: \textit{L. Block, J. Keesling} and \textit{V. V. Uspenski} [Houston J. Math. 26, No.4, 629--638 (2000; Zbl 0991.54048)] showed that if the inverse limit space associated to a map \(f:I\to I\) is a pseudo-arc then the topological entropy of \(f\) is either zero or at least \(\frac12\log 2\). Here the result is strengthened to show that the topological entropy is either zero or infinity.
reviewed by: Thomas B. Ward
Mathematics Subject Classification ID: 54H20
Mathematics Subject Classification ID: 54F50
Mathematics Subject Classification ID: 54E40
zbMATH DE Number: 5986538
zbMATH Keywords: Pseudo-arc
zbMATH Keywords: inverse limit space
zbMATH Keywords: topological entropy
MaRDI profile type: Publication
full work available at URL: j.topol.2011.07.014
OpenAlex ID: W2027183224
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DOI: 10.1016/J.TOPOL.2011.07.014
description: scientific article; zbMATH DE number 5986538