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Some applications of ordinal dimensions to the theory of differentially closed fields
Published online by Cambridge University Press: 12 March 2014
Abstract
Using the Lascar inequalities, we show that any finite rank δ-closed subset of a quasiprojective variety is definably isomorphic to an affine δ-closed set. Moreover, we show that if X is a finite rank subset of the projective space ℙn and a is a generic point of ℙn, then the projection from a is injective on X. Finally we prove that if RM = RC in DCF0, then RM = RU.
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- Copyright © Association for Symbolic Logic 2000
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