GALOIS GROUPS OF FIRST ORDER THEORIES-Reference-Cited by-同舟云学术

GALOIS GROUPS OF FIRST ORDER THEORIES

Published:2001-11 Issue:02 Volume:01 Page:305-319
ISSN:0219-0613
Container-title:Journal of Mathematical Logic
language:en
Short-container-title:J. Math. Log.

Author:

CASANOVAS E.¹,LASCAR D.²,PILLAY A.³,ZIEGLER M.⁴

Affiliation:

1. University of Barcelona, Department of Logic, Baldiri Reixac, s/n 08028, Barcelona, Spain

2. UPRESA 7056, Equipe de logique mathematique, UFR de Mathematique, Case 7012, Universite Paris 7, 2 Place Jussieu, 75251 Paris Cedex 05, France

3. Department of Mathematics, University of Illinois at Urbana-Champaign Altzeld Hall, 1409 W. Green St., Urbana, IL 61810, USA

4. Mathematisches Institut, Eckersträsse 1, 79104 Freiburg, Germany

Abstract

We study the groups Gal L(T) and Gal KP(T), and the associated equivalence relations EL and EKP, attached to a first order theory T. An example is given where EL≠ EKP (a non G-compact theory). It is proved that EKP is the composition of EL and the closure of EL. Other examples are given showing this is best possible.

Publisher

World Scientific Pub Co Pte Lt

Subject

Logic

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219061301000119

Reference6 articles.

1. Supersimple theories

2. New Dichotomies for Borel Equivalence Relations

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4. Simple theories

5. On the category of models of a complete theory

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