8 citations · 11 across the 4 of their papers we have counts for
4 papers · 1 filter
On central extensions and definably compact groups in o-minimal structures
Ehud Hrushovski, Ya'acov Peterzil, Anand Pillay
We prove several structural results on definably compact groups G in o-minimal expansions of real closed fields, such as (i) G is definably an almost direct product of a semisimple…
G-linear sets and torsion points in definably compact groups
Margarita Otero, Ya'acov Peterzil
Let G be a definably compact group in an o-minimal expansion of a real closed field. We prove that if dim(G X) < dim G for some definable X subset of G then X contains a torsion po…
One dimensional structures in o-minimal theories
Assaf Hasson, Alf Onshuus, Ya'acov Peterzil
We prove the Zil'ber Trichotomy Principle for all 1-dimensional structures which are definable in o-minimal ones. In particular, we show that any stable 1-dimensional structure is…
A question of van den Dries and a theorem of Lipshitz and Robinson: Not everything is standard
Ehud Hrushovski, Ya'acov Peterzil
We use a new construction of an o-minimal structure, due to Lipshitz and Robinson, to answer a question of van den Dries regarding the relationship between arbitrary o-minimal expa…