Infinite minimal sets of continuum-wise expansive homeomorphisms of 1-dimensional compacta (Q1873739)
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scientific article; zbMATH DE number 1917842
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Infinite minimal sets of continuum-wise expansive homeomorphisms of 1-dimensional compacta |
scientific article; zbMATH DE number 1917842 |
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Infinite minimal sets of continuum-wise expansive homeomorphisms of 1-dimensional compacta (English)
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27 May 2003
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The author shows that for any continuum-wise expansive homeomorphism defined on a 1-dimensional compactum there exits an invariant Cantor subset such that some iteration of the homeomorphism restricted to this set is semiconjugate to the full two-sided shift.
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expansive homeomorphism
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minimal set
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Cantor set
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