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Coding complete theories in Galois groups

Published online by Cambridge University Press:  12 March 2014

James Gray
James Gray*
Affiliation:
School of Mathematics, The University of Edinburgh, James Cleric Maxwell Building, The King's Buildings, Edinburgh EH9 3JZ, UK, URL: http://www.wjagray.co.uk/maths, E-mail: James@WJAGray.co.uk
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Abstract

In this paper, I will give a new characterisation of the spaces of complete theories of pseudofinite fields and of algebraically closed fields with a generic automorphism (ACFA) in terms of the Vietoris topology on absolute Galois groups of prime fields.

Keywords

Vietoris topologymodel theorypseudo-finite fieldseventually narrow sequencesalgebraically closed fields with a generic automorphism
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 73 , Issue 2 , June 2008 , pp. 474 - 491
Copyright
Copyright © Association for Symbolic Logic 2008

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