77 citations · 203 across the 46 of their papers we have counts for
5 papers · 2 filters
Stabilizers, groups with f-generics in NTP2 and PRC fields
Samaria Montenegro, Alf Onshuus, Pierre Simon
In this paper we develop three different subjects. We study and prove alternative versions of Hrushovski's "Stabilizer Theorem", we generalize part of the basic theory of definably…
NIP henselian valued fields
Franziska Jahnke, Pierre Simon
We show that any theory of tame henselian valued fields is NIP if and only if the theory of its residue field and the theory of its value group are NIP. Moreover, we show that if $…
Some remarks on dp-minimal groups
Elad Levi, Itay Kaplan, Pierre Simon
We prove that -categorical dp-minimal groups are nilpotent-by-finite. We also show that in dp-minimal definably amenable groups, f-generic global types are strongly f-gen…
Type decomposition in NIP theories
Pierre Simon
We prove that any type in an NIP theory can be decomposed into a stable part (a generically stable partial type) and a distal-like quotient.
Henselian valued fields and inp-minimality
Artem Chernikov, Pierre Simon
We prove that every ultraproduct of -adics is inp-minimal (i.e., of burden ). More generally, we prove an Ax-Kochen type result on preservation of inp-minimality for Henselia…