Some Applications of Ordinal Dimensions to the Theory of Differentially Closed Fields
Pong, Wai Yan
J. Symbolic Logic, Tome 65 (2000) no. 1, p. 347-356 / Harvested from Project Euclid
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Using the Lascar inequalities, we show that any finite rank $\delta$-closed subset of a quasiprojective variety is definably isomorphic to an affine $\delta$-closed set. Moreover, we show that if X is a finite rank subset of the projective space $\mathbb{P}^n$ and a is a generic point of $\mathbb{P}^n$, then the projection from a is injective on X. Finally we prove that if RM = RC in DCF$_0$, then RM = RU.
Publié le : 2000-03-14
Classification:  
@article{1183746026,
     author = {Pong, Wai Yan},
     title = {Some Applications of Ordinal Dimensions to the Theory of Differentially Closed Fields},
     journal = {J. Symbolic Logic},
     volume = {65},
     number = {1},
     year = {2000},
     pages = { 347-356},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183746026}
}

Pong, Wai Yan. Some Applications of Ordinal Dimensions to the Theory of Differentially Closed Fields. J. Symbolic Logic, Tome 65 (2000) no. 1, pp.  347-356. http://gdmltest.u-ga.fr/item/1183746026/