Nonstandard analysis and locally compact abelian groups (Q1194274)
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scientific article; zbMATH DE number 64117
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonstandard analysis and locally compact abelian groups |
scientific article; zbMATH DE number 64117 |
Statements
Nonstandard analysis and locally compact abelian groups (English)
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27 September 1992
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The author presents a method of nonstandard analysis for constructing separable locally compact abelian (LCA) groups. He also defines the notion of hyperfinite approximation of LCA-groups and shows that every separable LCA group has an admissible hyperfinite approximation.
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locally compact abelian group
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Loeb measure
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nonstandard analysis
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hyperfinite approximation of LCA-groups
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0.9825114
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0.9063901
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0.8987087
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0.8973905
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0.8939147
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0.8902602
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