Year: 2025
Type: article
Abstract: We expand the study of generic stability in three different directions. Generic stability is best understood as a property of types in N I P $NIP$ upper N upper I upper P theories in classical logic. In this article, we make attempts to generalize our understanding to Keisler measures instead of types, arbitrary theories instead of N I P $NIP$ upper N upper I upper P theories, and continuous logic instead of classical logic. For this purpose, we study randomization of first-order structures/theories and modes of convergence of types/measures.
Source: Journal of Symbolic Logic
Author: KARIM KHANAKI
Institution: Arak University of Technology
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4413659310