English

On many-sorted $\omega$-categorical theories

Logic 2011-03-21 v3

Abstract

We prove that every many-sorted ω\omega-categorical theory is completely interpretable in a one-sorted ω\omega-categorical theory. As an application, we give a short proof of the existence of non GG--compact ω\omega-categorical theories.

Keywords

Cite

@article{arxiv.1012.4370,
  title  = {On many-sorted $\omega$-categorical theories},
  author = {Enrique Casanovas and Rodrigo Peláez and Martin Ziegler},
  journal= {arXiv preprint arXiv:1012.4370},
  year   = {2011}
}
R2 v1 2026-06-21T17:01:42.320Z