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Stable Extensions and Fields with the Global Density Property

Published online by Cambridge University Press:  20 November 2018

Michael Fried  and
Moshe Jarden
Michael Fried
Affiliation:
University of California at Irvine, Irvine, California
Moshe Jarden
Affiliation:
Tel-Aviv University, Ramat-Aviv, Tel-Aviv, Israel
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For a field M we denote by Ms and respectively the separable closure and the algebraic closure of M. If F is a variety which is defined over M, then we denote by V(M) the set of all if-rational points of V. M is said to be pseudo-algebraically closed (PAC) field, if V(M) ≠ θ for every non-void abstract variety V defined over M. It can be shown that then is dense in V(M) in the Zariski M -topology.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 28 , Issue 4 , 01 August 1976 , pp. 774 - 787
Copyright
Copyright © Canadian Mathematical Society 1976

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