N. Ramsey

activity

20152026

most citedGeneric expansion and Skolemization in NSOP

_{1}

theories

28 citations · 31 across the 9 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.LO2017

Local character of Kim-independence

Itay Kaplan, Nicholas Ramsey, Saharon Shelah

We show that NSOP $_{1}$ theories are exactly the theories in which Kim-independence satisfies a form of local character. In particular, we show that if $T$ is NSOP $_{1}$ , $M\models…

math.LO2017★ 28 cited

Generic expansion and Skolemization in NSOP $_{1}$ theories

Alex Kruckman, Nicholas Ramsey

We study expansions of NSOP $_{1}$ theories that preserve NSOP $_{1}$ . We prove that if $T$ is a model complete NSOP $_{1}$ theory eliminating the quantifier $\exists^{\infty}$ , then the ge…

math.LO2017

On Kim-Independence

Itay Kaplan, Nicholas Ramsey

We study NSOP $_{1}$ theories. We define Kim-independence, which generalizes non-forking independence in simple theories and corresponds to non-forking at a generic scale. We show t…

Local character of Kim-independence

Generic expansion and Skolemization in NSOP1​ theories

On Kim-Independence

Generic expansion and Skolemization in NSOP $_{1}$ theories