39 citations · 99 across the 19 of their papers we have counts for
11 papers · 1 filter
Locally -categorical theories and locally Roelcke precompact groups
Itaï Ben Yaacov, Todor Tsankov
It is well-known that Polish Roelcke precompact groups are the groups that can be represented as automorphism groups of -categorical structures in continuous logic and th…
Extremal models and direct integrals in affine logic
Itaï Ben Yaacov, Tomás Ibarlucía, Todor Tsankov
Affine logic is a fragment of continuous logic, introduced by Bagheri, in which only affine functions are allowed as connectives. This has the effect of endowing type spaces with t…
Continuous logic and Borel equivalence relations
Andreas Hallbäck, Maciej Malicki, Todor Tsankov
We study the complexity of isomorphism of classes of metric structures using methods from infinitary continuous logic. For Borel classes of locally compact structures, we prove tha…
Eberlein oligomorphic groups
Itaï Ben Yaacov, Tomás Ibarlucía, Todor Tsankov
We study the Fourier--Stieltjes algebra of Roelcke precompact, non-archimedean, Polish groups and give a model-theoretic description of the Hilbert compactification of these groups…
On the complexity of topological conjugacy of Toeplitz subshifts
Marcin Sabok, Todor Tsankov
In this paper, we study the descriptive set theoretic complexity of the equivalence relation of conjugacy of Toeplitz subshifts of a residually finite group . On the one hand, w…
Metric Scott analysis
Itai Ben Yaacov, Michal Doucha, Andre Nies +1
We develop an analogue of the classical Scott analysis for metric structures and infinitary continuous logic. Among our results are the existence of Scott sentences for metric stru…