Semi-isolation and the strict order property

TL;DR

This paper investigates semi-isolation as a binary relation within model theory and demonstrates that, under certain conditions, it leads to the strict order property, revealing structural insights.

Contribution

It establishes conditions under which semi-isolation induces the strict order property, advancing understanding of order structures in model theory.

Findings

Semi-isolation can induce the strict order property under specific assumptions.

Provides conditions linking semi-isolation to order properties.

Enhances understanding of the structure of types in model theory.

Abstract

We study semi-isolation as a binary relation on the locus of a complete type and prove that under some additional assumptions it induces the strict order property.