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Orders on real algebraic sets and analytic germs - MaRDI portal

Orders on real algebraic sets and analytic germs (Q1076726)

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scientific article; zbMATH DE number 3955056
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English
Orders on real algebraic sets and analytic germs
scientific article; zbMATH DE number 3955056

    Statements

    Orders on real algebraic sets and analytic germs (English)
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    1984
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    This is a very succinctly written survey of known results about the space of orderings of the field of rational (meromorphic) functions on an irreducible algebraic set (analytic germ) in \({\mathbb{R}}^ n\). The stated results are due to the group build up by the author and Dubois, in Spain.
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    rational functions
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    meromorphic functions
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    real algebraic sets
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    function fields
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    real algebraic geometry
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    Hilbert's \(17^{th}\)
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    problem
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    orderings
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    analytic germ
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