RECONSTRUCTION OF SEPARABLY CATEGORICAL METRIC STRUCTURES

Author:

BEN YAACOV ITAÏ,KAÏCHOUH ADRIANE

Abstract

AbstractWe 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.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference10 articles.

1. On d-finiteness in continuous structures

2. Quasi finitely axiomatizable totally categorical theories

3. Model theory for metric structures

4. [5] Yaacov Itaï Ben and Tsankov Todor , Weakly almost periodic functions, model-theoretic stability, and minimality of topological groups, preprint.

5. A topological version of the Bergman property

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