On groups and fields definable in o-minimal structures (Q1113892)
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scientific article; zbMATH DE number 4081526
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On groups and fields definable in o-minimal structures |
scientific article; zbMATH DE number 4081526 |
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On groups and fields definable in o-minimal structures (English)
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1988
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It is shown that a group G definable in an o-minimal structure M (i.e. G is a definable subset of \(M^ n\) and the group operation is definable) can be definably equipped with the structure of a ``group manifold over M''. As a consequence it is shown that any field definable in an o- minimal structure is real closed or algebraically closed.
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real closed field
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algebraically closed field
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o-minimal structure
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group manifold
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