An elementary nonstandard proof of Stone's representation theorem (Q1812962)
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scientific article; zbMATH DE number 1090
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An elementary nonstandard proof of Stone's representation theorem |
scientific article; zbMATH DE number 1090 |
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An elementary nonstandard proof of Stone's representation theorem (English)
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25 June 1992
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A neat nonstandard proof of Stone's representation theorem is given. Improving on previous Loeb's proof, it uses the remarkably simple fact that infinitesimal members of a filter on X, in any enlargement, are always compact for a natural topology on \({}^*X\).
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nonstandard proof of Stone's representation theorem
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infinitesimal members of a filter
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