3 papers
math.LO2022
Homogeneity of abstract linear spaces
Wiesław Kubiś, Piotr Nowakowski, Tomasz Rzepecki
We discuss homogeneity and universality issues in the theory of abstract linear spaces, namely, structures with points and lines satisfying natural axioms, as in Euclidean or proje…
math.LO2018
Bounded Invariant Equivalence Relations
Tomasz Rzepecki
We study strong types and Galois groups in model theory from a topological and descriptive-set-theoretical point of view, leaning heavily on topological dynamical tools. More preci…
math.LO2018
Galois groups as quotients of Polish groups
Krzysztof Krupiński, Tomasz Rzepecki
We present the (Lascar) Galois group of any countable theory as a quotient of a compact Polish group by an normal subgroup: in general, as a topological group, and under NIP,…