activity
20092025
most citedDistal and non-distal NIP theories

77 citations · 203 across the 46 of their papers we have counts for

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Showing 2016Show all

5 papers · 1 filter

math.LO2016★ 7 cited

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…

math.LO2016

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 $…

math.LO2016

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…

math.LO2016

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.

math.LO2016

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…