6 citations · 9 across the 7 of their papers we have counts for
9 papers · 1 filter
Dependent finitely homogneneous rosy structures
Alf Onshuus, Pierre Simon
We study finitely homogeneous dependent rosy structures, adapting results of Cherlin, Harrington, and Lachlan proved for -stable -categorical structures. In particular, we pr…
A note on stability and NIP in one variable
Pierre Simon
A theory is NIP (resp. stable) if and only if every formula with parameters in two single variables is NIP (resp. does not have the order property).
Definable Equivariant Retractions in Non-Archimedean Geometry
Martin Hils, Ehud Hrushovski, Pierre Simon
For an algebraic group definable over a model of , or more generally a definable subgroup of an algebraic group, we study the stable completion $\widehat{G…
On omega-categorical structures with few finite substructures
Pierre Simon
We establish new results on the possible growth rates for the sequence (f_n) counting the number of orbits of a given oligomorphic group on unordered sets of size n. Macpherson sho…
The classification of homogeneous finite-dimensional permutation structures
Samuel Braunfeld, Pierre Simon
We classify the homogeneous finite-dimensional permutation structures, i.e., homogeneous structures in a language of finitely many linear orders, giving a nearly complete answer to…
Dp-minimal valued fields
Franziska Jahnke, Pierre Simon, Erik Walsberg
We show that dp-minimal valued fields are henselian and that a dp-minimal field admitting a definable type V topology is either real closed, algebraically closed or admits a non-tr…