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Ordered differential fields

✍ Scribed by Abraham Robinson

Publisher
Elsevier Science
Year
1973
Tongue
English
Weight
507 KB
Volume
14
Category
Article
ISSN
0097-3165

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πŸ“œ SIMILAR VOLUMES

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## Abstract In his Ph.D. thesis [7], L. van den Dries studied the model theory of fields (more precisely domains) with finitely many orderings and valuations where all open sets according to the topology defined by an order or a valuation is globally dense according with all other orderings and val

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In the paper it is shown how an embedding of an ordered ΓΏeld F into a formal power series ΓΏeld can be extended canonically to an embedding of any simple extension F(y) of F. Properties of the extended embedding are studied in detail. Several applications are given.