On homeomorphisms of \((I,f)\) having topological entropy zero (Q1295325)
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scientific article; zbMATH DE number 1308019
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On homeomorphisms of \((I,f)\) having topological entropy zero |
scientific article; zbMATH DE number 1308019 |
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On homeomorphisms of \((I,f)\) having topological entropy zero (English)
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13 February 2000
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If \(f\): \(I \rightarrow I\) is a continuous piecewise monotone interval map having only finite many periods, then every homeomorphism on the inverse limit space \((I,f)\) has zero topological entropy. This result is close to the results in [\textit{X. Ye}, ibid. 64, No. 1, 85-93 (1995; Zbl 0831.54019)] as is mentioned by the authors. Their approach to the problem is fairly different.
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inverse limit space
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piecewise monotone interval map
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shift map
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periods
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zero topological entropy
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