English

On unsuperstable theories in GDST

Logic 2025-02-05 v1

Abstract

We study the κ\kappa-Borel-reducibility of isomorphism relations of complete first order theories by using coloured trees. Under some cardinality assumptions, we show the following: For all theories T and T', if T is classifiable and T' is unsuperstable, then the isomorphism of models of T' is strictly above the isomorphism of models of T with respect to κ\kappa-Borel-reducibility.

Keywords

Cite

@article{arxiv.2203.14292,
  title  = {On unsuperstable theories in GDST},
  author = {Miguel Moreno},
  journal= {arXiv preprint arXiv:2203.14292},
  year   = {2025}
}