Weakly symmetric functions and weakly symmetrically continuous functions (Q1704451)
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scientific article; zbMATH DE number 6848848
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weakly symmetric functions and weakly symmetrically continuous functions |
scientific article; zbMATH DE number 6848848 |
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Weakly symmetric functions and weakly symmetrically continuous functions (English)
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9 March 2018
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Although the existence of a nowhere weakly symmetrically continuous function \(f : {\mathbb R}\rightarrow {\mathbb R}\) that is everywhere weakly symmetric, remains open, the author proves that there exists a nowhere weakly symmetric function \(f : {\mathbb R}\rightarrow {\mathbb R}\) that is everywhere weakly symmetrically continuous and everywhere weakly continuous.
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weakly symmetrically continuous function
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weakly symmetric function
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0.8594194054603577
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0.8367372751235962
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0.797783613204956
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