English

A number of countable models of a countable supersimple theory

Rings and Algebras 2009-09-25 v1

Abstract

In this paper, we prove the number of countable models of a countable supersimple theory is either 1 or infinite. This result is an extension of Lachlan's theorem on a superstable theory.

Keywords

Cite

@article{arxiv.math/9602217,
  title  = {A number of countable models of a countable supersimple theory},
  author = {Byunghan Kim},
  journal= {arXiv preprint arXiv:math/9602217},
  year   = {2009}
}