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Rangs et types de rang maximum dans les corps différentiellement clos

Published online by Cambridge University Press:  12 March 2014

Franck Benoist
Franck Benoist*
Affiliation:
Equipe de Logique, UFR de Mathématiques – Case 7012, Université Paris 7 – Denis Diderot, 2, Place Jussieu, 75251 Paris Cedex 05, France, E-mail: benoist@logique.jussieu.fr
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Abstract

It is known that in differentially closed fields of characteristic zero, the ranks of stability RU, RM and the topological rank RH need not to be equal. Pillay and Pong have just shown however that the ranks RU and RM coincide in a group definable in this theory. At the opposite, we will show in this paper that the ranks RM and RH of a definable group can also be different, and even lead to non-equivalent notions of generic type.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 67 , Issue 3 , September 2002 , pp. 1178 - 1188
Copyright
Copyright © Association for Symbolic Logic 2002

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References

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