16 citations · 21 across the 3 of their papers we have counts for
4 papers · 1 filter
On compactifications and the topological dynamics of definable groups
Jakub Gismatullin, Davide Penazzi, Anand Pillay
We discuss definable compactifications and topological dynamics. For G a group definable in some structure M, we define notions of "definable" compactification of G and "definable"…
Some model theory of SL(2,R)
Jakub Gismatullin, Davide Penazzi, Anand Pillay
We study the action of G = SL(2,R) on its type space S_G(R) where R denotes the field of real numbers. We identify a minimal closed G-flow I, and an idempotent r of I (with the res…
Combinatorial geometries of field extensions
Jakub Gismatullin
We classify the algebraic combinatorial geometries of arbitrary field extensions of transcendence degree greater than 4 and describe their groups of automorphisms. Our results and…
G-Compactness and Groups
Jakub Gismatullin, Ludomir Newelski
Lascar described E_KP as a composition of E_L and the topological closure of EL. We generalize this result to some other pairs of equivalence relations. Motivated by an attempt to…