4 papers
Dense and comeager conjugacy classes in zero-dimensional dynamics
Michal Doucha, Julien Melleray, Todor Tsankov
Given a countable group , we initiate a systematic study of the Polish spaces of all minimal and topologically transitive actions of on the Cantor space by homeomorphisms, w…
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…
Non-singular and probability measure-preserving actions of infinite permutation groups
Todor Tsankov
We prove two theorems in the ergodic theory of infinite permutation groups. First, generalizing a theorem of Nessonov for the infinite symmetric group, we show that every non-singu…
Extremal models and direct integrals in affine logic
Itaï Ben Yaacov, Tomás IbarlucÃa, 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…