2 citations · 2 across the 1 of their papers we have counts for
4 papers
On canonicity of almost linear minimal orders
Grzegorz Jagiella
We prove that if a minimal ordered structure with infinite chains in an arbitrary language extending the language of strict orders interprets (in some power )…
Bohr compactifications of groups and rings
Jakub Gismatullin, Grzegorz Jagiella, Krzysztof Krupinski
We introduce and study model-theoretic connected components of rings as an analogue of model-theoretic connected components of definable groups. We develop their basic theory and u…
Topological dynamics and NIP fields
Grzegorz Jagiella
We study definable topological dynamics of some algebraic group actions over an arbitrary NIP field . We show that the Ellis group of the universal definable flow of $\mathrm{SL…
The Ellis group conjecture and variants of definable amenability
Grzegorz Jagiella
We consider definable topological dynamics for groups admitting certain decompositions in terms of specific classes of definably amenable groups. For such a group, we find a…