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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

Wai Yan Pong
Wai Yan Pong*
Affiliation:
University of Illinoisat Chicago, 322 Science and Engineering Office (SEO) M/C 249, 851 S. Morgan Street, Chicago, IL 60607, USA, E-mail: pong@math.uic.edu
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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 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.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 65 , Issue 1 , March 2000 , pp. 347 - 356
Copyright
Copyright © Association for Symbolic Logic 2000

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References

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