Weak openness of multiplication in the space \(C(0,1)\) (Q987931)
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scientific article; zbMATH DE number 5778796
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weak openness of multiplication in the space \(C(0,1)\) |
scientific article; zbMATH DE number 5778796 |
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Weak openness of multiplication in the space \(C(0,1)\) (English)
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2 September 2010
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It is proved that the multiplication is a weakly open operation in \(C(0,1)\), the space of all continuous real-valued functions defined on \((0,1)\). A map between topological spaces is weakly open if the image of every non-empty open set has a non-empty interior.
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multiplication
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open mapping
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weakly open mapping
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space of continuous functions
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