2 citations · 3 across the 3 of their papers we have counts for
3 papers
math.LO2012★ 1 cited
Groups and fields with NTP2
Artem Chernikov, Itay Kaplan, Pierre Simon
NTP2 is a large class of first-order theories defined by Shelah and generalizing simple and NIP theories. Algebraic examples of NTP2 structures are given by ultra-products of p-adi…
math.LO2009★ 2 cited
On dp-minimal ordered structures
P. Simon
We show some basic facts about dp-minimal ordered structures. The main results are : dp-minimal groups are abelian-by-finite-exponent, in a divisible ordered dp-minimal group, any…
math.LO2009
Naming an indiscernible sequence in NIP theories
Artem Chernikov, Pierre Simon
In this short note we show that if we add predicate for a dense complete indiscernible sequence in a dependent theory then the result is still dependent. This answers a question of…