A Conjectural Classification of Strongly Dependent Fields
Logic
2019-07-31 v2 Rings and Algebras
Abstract
We survey the history of Shelah's conjecture on strongly dependent fields, give an equivalent formulation in terms of a classification of strongly dependent fields and prove that the conjecture implies that every strongly dependent field has finite dp-rank.
Keywords
Cite
@article{arxiv.1805.03814,
title = {A Conjectural Classification of Strongly Dependent Fields},
author = {Yatir Halevi and Assaf Hasson and Franziska Jahnke},
journal= {arXiv preprint arXiv:1805.03814},
year = {2019}
}