Composition of functions (Q1587330)
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scientific article; zbMATH DE number 1533038
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Composition of functions |
scientific article; zbMATH DE number 1533038 |
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Composition of functions (English)
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7 May 2001
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Main theorem of this paper: Let \(f\) and \(g\) be functions mapping the real line into the real line (\(f\) be surjective). If \(g\circ f\) is continuous and \(f\) is Darboux, then \(g\) is continuous. If \(g\circ f\) is Darboux and \(f\) is continuous, then \(g\) is Darboux.
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continuous function
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Darboux function
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composition of function
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