Extendable functions and almost continuous functions with a perfect road (Q1189086)
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scientific article; zbMATH DE number 54505
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extendable functions and almost continuous functions with a perfect road |
scientific article; zbMATH DE number 54505 |
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Extendable functions and almost continuous functions with a perfect road (English)
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26 September 1992
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Connectivity functions \(g:I^ 2\to I\;(I=[0,1])\) are investigated. Moreover, it is proved that an extendable function \(f:I\to I\) has the strong Cantor intermediate value property. The paper contains interesting examples which show the importance of the hypotheses of the theorems.
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connectivity functions
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extendable function
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strong Cantor intermediate value property
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