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Differential forms in the model theory of differential fields

Published online by Cambridge University Press:  12 March 2014

David Pierce
David Pierce*
Affiliation:
Mathematics Department, Middle East Technical University, Ankara 06531, Turkey, E-mail: dpierce@math.metu.edu.tr, URL: http://www.math.metu.edu.tr/~dpierce/
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Abstract

Fields of characteristic zero with several commuting derivations can be treated as fields equipped with a space of derivations that is closed under the Lie bracket. The existentially closed instances of such structures can then be given a coordinate-free characterization in terms of differential forms. The main tool for doing this is a generalization of the Frobenius Theorem of differential geometry.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 68 , Issue 3 , September 2003 , pp. 923 - 945
Copyright
Copyright © Association for Symbolic Logic 2003

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