RECONSTRUCTION OF SEPARABLY CATEGORICAL METRIC STRUCTURES
@article{BenYaacov2014RECONSTRUCTIONOS, title={RECONSTRUCTION OF SEPARABLY CATEGORICAL METRIC STRUCTURES}, author={Itay Ben-Yaacov and Adriane Ka{\"i}chouh}, journal={The Journal of Symbolic Logic}, year={2014}, volume={81}, pages={216 - 224} }
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.
12 Citations
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- 2015
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On a Roelcke-precompact Polish group that cannot act transitively on a complete metric space
- MathematicsIsrael Journal of Mathematics
- 2018
We study when a continuous isometric action of a Polish group on a complete metric space is, or can be, transitive. Our main results consist of showing that for certain Polish groups, namely Aut* (μ)…
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Infinite-dimensional Polish groups and Property (T)
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Infinite-dimensional Polish groups and Property (T)
- Materials ScienceInventiones mathematicae
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We show that all groups of a distinguished class of «large» topological groups, that of Roelcke precompact Polish groups, have Kazhdan’s Property (T). This answers a question of Tsankov and…
Property (T) for Roelcke precompact Polish groups (after Ibarluc\'ia, building on work of Ben Yaacov and Tsankov)
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- 2021
Née au début des années 2000 dans les travaux de Ben Yaacov, Berenstein, Henson et Usvyatsov (2008), la théorie des modèles métrique, ou théorie des modèles continue, permet d’étendre des techniques…
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