Article contents
RECONSTRUCTION OF SEPARABLY CATEGORICAL METRIC STRUCTURES
Published online by Cambridge University Press: 26 January 2016
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
- Type
- Articles
- Information
- Copyright
- Copyright © The Association for Symbolic Logic 2016
References
REFERENCES
Ahlbrandt, Gisela and Ziegler, Martin, Quasi-finitely axiomatizable totally categorical theories. Annals of Pure and Applied Logic, vol. 30 (1986), no. 1, pp. 63–82.CrossRefGoogle Scholar
Yaacov, Itaï Ben, Definability of groups in ℵ0-stable metric structures, this Journal, vol. 75 (2010), no. 3, pp. 817–840.Google Scholar
Yaacov, Itaï Ben, On theories of random variables. Israel Journal of Mathematics, vol. 194 (2013), no. 2, pp. 957–1012.CrossRefGoogle Scholar
Yaacov, Itaï Ben, Berenstein, Alexander, Henson, C. Ward, and Usvyatsov, Alexander, Model theory for metric structures, Model Theory with Applications to Algebra and Analysis. Vol. 2, London Mathematical Society Lecture Note Series, vol. 350, Cambridge University Press, Cambridge, 2008, pp. 315–427.Google Scholar
Yaacov, Itaï Ben and Tsankov, Todor, Weakly almost periodic functions, model-theoretic stability, and minimality of topological groups, preprint.Google Scholar
Yaacov, Itaï Ben and Usvyatsov, Alexander, On d-finiteness in continuous structures. Fundamenta Mathematicae, vol. 194 (2007), pp. 67–88.Google Scholar
Yaacov, Itaï Ben and Usvyatsov, Alexander, Continuous first order logic and local stability. Transactions of the American Mathematical Society, vol. 362 (2010), no. 10, pp. 5213–5259.Google Scholar
Ibarlucía, Tomás, The dynamical hierarchy for Roelcke precompact Polish groups, research notes.Google Scholar
Melleray, Julien, A note on Hjorth’s oscillation theorem, this Journal, vol. 75 (2010), no. 4, pp. 1359–1365.Google Scholar
Rosendal, Christian, A topological version of the Bergman property. Forum Mathematicum, vol. 21 (2009), no. 2, pp. 299–332.Google Scholar
- 4
- Cited by