Independence relations for exponential fields

DOI10.1016/j.apal.2023.103288arXiv2211.03071MaRDI QIDQ6156419

No author found.

Publication date: 13 June 2023

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.03071

zbMATH Keywords

abstract elementary classclassification theoryAx-Schanuelexponential fieldindependence relation

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45) Models of other mathematical theories (03C65) Abstract elementary classes and related topics (03C48)

Cites Work

• Unnamed Item
• Unnamed Item
• Finitely presented exponential fields
• Exponentially closed fields and the conjecture on intersections with tori
• Pseudo-exponentiation on algebraically closed fields of characteristic zero
• Classification theory and the number of non-isomorphic models.
• Simple theories
• Pseudo-exponential maps, variants, and quasiminimality
• Forking independence from the categorical point of view
• Existentially closed exponential fields
• On Kim-independence
• Simplicity and uncountable categoricity in excellent classes
• Independence in finitary abstract elementary classes
• Exponential algebraicity in exponential fields
• SIMPLICITY IN COMPACT ABSTRACT THEORIES
• Local character of Kim-independence
• Simple homogeneous models
• Covers of multiplicative groups of algebraically closed fields of arbitrary characteristic
• COVERS OF THE MULTIPLICATIVE GROUP OF AN ALGEBRAICALLY CLOSED FIELD OF CHARACTERISTIC ZERO
• THE KIM–PILLAY THEOREM FOR ABSTRACT ELEMENTARY CATEGORIES
• Kim-independence in positive logic

This page was built for publication: Independence relations for exponential fields