Stability and stable groups in continuous logic

TL;DR

This paper explores the concepts of stability and stable groups within continuous first-order logic, focusing on type-definable groups and the notion of genericity to advance understanding in this logical framework.

Contribution

It introduces new insights into local and global stability, specifically analyzing type-definable groups and genericity in continuous logic.

Findings

Enhanced understanding of stability in continuous logic

Characterization of type-definable groups

Insights into genericity in the context of continuous logic

Abstract

We develop several aspects of local and global stability in continuous first order logic. In particular, we study type-definable groups and genericity.