English

Stable theories and representation over sets

Logic 2009-06-18 v1

Abstract

In this paper we explore the representation property over sets. This property generalizes constructibility, however is weak enough to enable us to prove that the class of theories TT whose models are representable is exactly the class of stable theories. Stronger results are given for omega-stable.

Keywords

Cite

@article{arxiv.0906.3050,
  title  = {Stable theories and representation over sets},
  author = {Moran Cohen and Saharon Shelah},
  journal= {arXiv preprint arXiv:0906.3050},
  year   = {2009}
}
R2 v1 2026-06-21T13:14:03.540Z