The reverse of the intermediate value theorem in some topological spaces (Q2038325)
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scientific article; zbMATH DE number 7368250
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The reverse of the intermediate value theorem in some topological spaces |
scientific article; zbMATH DE number 7368250 |
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The reverse of the intermediate value theorem in some topological spaces (English)
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6 July 2021
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Summary: Any continuous function with values in a Hausdorff topological space has a closed graph and satisfies the property of intermediate value. However, the reverse implications are false, in general. In this article, we treat additional conditions on the function, and its graph for the reverse to be true.
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Hausdorff topological space
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continuous functions
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