A note on the map with the whole space being a scrambled set (Q1004644)
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scientific article; zbMATH DE number 5528001
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the map with the whole space being a scrambled set |
scientific article; zbMATH DE number 5528001 |
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A note on the map with the whole space being a scrambled set (English)
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11 March 2009
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In this little note, the authors prove that there is no compact system with the whole space being a Schweizer-Smital scrambled set and that the Huang-Ye homeomorphism has no Schweizer-Smital pair. Moreover, they present a simple noncompact system whose Schweizer-Smital scrambled set can be the whole space.
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Schweizer-Smital scrambled set
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Schweizer-Smital pair
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distal pair
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