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RECONSTRUCTION OF SEPARABLY CATEGORICAL METRIC STRUCTURES

Published online by Cambridge University Press:  26 January 2016

ITAÏ BEN YAACOV  and
ADRIANE KAÏCHOUH
ITAÏ BEN YAACOV
Affiliation:
UNIVERSITÉ CLAUDE BERNARD – LYON 1 INSTITUT CAMILLE JORDAN, CNRS UMR 5208 43 BOULEVARD DU 11 NOVEMBRE 1918 69622 VILLEURBANNE CEDEX FRANCEURL: http://math.univ-lyon1.fr/∼begnac/
ADRIANE KAÏCHOUH
Affiliation:
UNIVERSITÉ CLAUDE BERNARD – LYON 1 INSTITUT CAMILLE JORDAN, CNRS UMR 5208 43 BOULEVARD DU 11 NOVEMBRE 1918 69622 VILLEURBANNE CEDEX FRANCEURL: http://math.univ-lyon1.fr/∼kaichouh/
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Abstract

We extend Ahlbrandt and Ziegler’s reconstruction results ([1]) to the metric setting: we show that separably categorical structures are determined, up to bi-interpretability, by their automorphism groups.

Keywords

Ahlbrandt-Zieglerreconstructionseparably categoricalcontinuous logicmetric structuresbi-interpretabilityautomorphism group

Information

Type
Articles
Information
The Journal of Symbolic Logic , Volume 81 , Issue 1 , March 2016 , pp. 216 - 224
Copyright
Copyright © The Association for Symbolic Logic 2016 

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References

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