Differential forms in the model theory of differential fields

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2003-09-01

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Pierce, D

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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.

Subject Keywords

Philosophy, Logic

URI

https://hdl.handle.net/11511/64352

Journal

JOURNAL OF SYMBOLIC LOGIC

DOI

https://doi.org/10.2178/jsl/1058448448

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Department of Mathematics, Article

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Citation Formats

D. Pierce, “Differential forms in the model theory of differential fields,” JOURNAL OF SYMBOLIC LOGIC, pp. 923–945, 2003, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64352.