14 citations · 42 across the 17 of their papers we have counts for
4 papers · 2 filters
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"…
Generic stability and stability
Hans Adler, Enrique Casanovas, Anand Pillay
We prove two results about generically stable types in arbitrary theories. The first, on existence of strong germs, generalizes results from D. Haskell, E. Hrushovski and D. Ma…
On groups and fields interpretable in torsion-free hyperbolic groups
Chloé Perin, Anand Pillay, Rizos Sklinos +1
We prove that the generic type of a non-cyclic torsion-free hyperbolic group G is foreign to any interpretable abelian group, hence also to any interpretable field. This result dep…
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…