Sensitive open maps on Peano continua having a free arc (Q296183)
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scientific article; zbMATH DE number 6593315
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sensitive open maps on Peano continua having a free arc |
scientific article; zbMATH DE number 6593315 |
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Sensitive open maps on Peano continua having a free arc (English)
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14 June 2016
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Let \((X,f)\) be a Peano continuum having a free arc. The following is the main result of this paper. Theorem. Suppose that \(X\) admits a sensitive open map. Then, either \(X\) is an arc, or \(X\) is a circle. Further, some examples are constructed to show that this result does not hold for semi-open maps.
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Peano continuum
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sensitivity
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open map
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free arc
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