Thorn forking, weak normality, and theories with selectors

TL;DR

This paper explores the role of weakly normal formulas in thorn forking, provides a counterexample to a previous result, and discusses theories with selectors, contributing to the understanding of model-theoretic forking concepts.

Contribution

It offers new insights into thorn forking, introduces a counterexample to an existing corollary, and discusses the concept of theories with selectors in model theory.

Findings

Counterexample to Corollary 4.2 from Ealy and Onshuus (2016)

Analysis of weakly normal formulas in thorn forking

Discussion on theories with selectors

Abstract

We discuss the role of weakly normal formulas in the theory of thorn forking, as part of a commentary on the paper "Thorn forking and stable forking" by Ealy and Onshuus (Rev. acad. colomb. cienc. exact. fis. nat. vol.40 no.157 Bogot\'a Oct./Dec. 2016). We also give a counterexample to Corollary 4.2 from that paper, and in the process discuss "theories with selectors".