Coding complete theories in Galois groups
James Gray
Source: J. Symbolic Logic Volume 73, Issue 2
(2008), 474-491.
Abstract
In this paper, I will give a new characterisation of the spaces of complete theories of pseudo-finite fields and of algebraically closed fields with a generic automorphism (ACFA) in terms of the Vietoris topology on absolute Galois groups of prime fields.
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Keywords: Vietoris topology; model theory; pseudo-finite fields; algebraically closed fields with a generic automorphism
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jsl/1208359055
Digital Object Identifier: doi:10.2178/jsl/1208359055
Mathematical Reviews number (MathSciNet): MR2414460
Zentralblatt MATH identifier: 1146.03019
