Remarks on unimodularity

TL;DR

This paper clarifies the relationship between two notions of unimodularity in model theory, correcting previous literature and showing they coincide for strongly minimal sets.

Contribution

It provides a clarification and correction of the relationship between Hrushovski's unimodularity and Macpherson-Steinhorn's measurability, especially for strongly minimal sets.

Findings

Unimodularity and measurability coincide for strongly minimal sets.

The paper corrects previous misconceptions in the literature.

It clarifies the relationship between two key notions in model theory.

Abstract

We clarify the relationship between unimodulariy in the sense of Hrushovski and measurability in the sense of Macpherson and Steinhorn, correcting some statements in the literature. In particular we point out that the notions coincide for strongly minimal sets.