Some applications of ordinal dimensions to the theory of differentially closed fields

Journal of Symbolic Logic 65 (1):347-356 (2000)
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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 P n and a is a generic point of P n , then the projection from a is injective on X. Finally we prove that if RM = RC in DCF 0 , then RM = RU

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10.2307/2586542

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Citations of this work

Further notes on cell decomposition in closed ordered differential fields.Cédric Rivière - 2009 - Annals of Pure and Applied Logic 159 (1-2):100-110.
In memoriam: Michael Morley, 1930–2020.John Baldwin & David Marker - 2021 - Bulletin of Symbolic Logic 27 (4):514-518.

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