A typical property of some symmetric spaces (Q2774505)
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scientific article; zbMATH DE number 1713816
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A typical property of some symmetric spaces |
scientific article; zbMATH DE number 1713816 |
Statements
28 February 2002
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symmetric function
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symmetrically continuous function
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\(c\)-dense set
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residual set
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porosity
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A typical property of some symmetric spaces (English)
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In the paper it is shown that in the space of bounded, weighted symmetric functions with supremum norm, the set of all functions with a \(c\)-dense set of discontinuity points is a residual \(G_{\delta }\)-set and its complement is a \(\sigma \)-very porous set.
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