English

Fodor space in generalized descriptive set theory

Logic 2026-05-26 v2

Abstract

We study the continuous reducibility of isomorphism relations in the space of regresive functions in κκ\kappa^\kappa. We show for inaccessible κ\kappa, that if T\mathcal{T} is a theory with less than κ\kappa non-isomorphic models of size κ\kappa and T\mathcal T' is unstable or superstable non-classifiable, then the isomorphism of models of T\mathcal{T} is continuous reducible to the isomorphism of models of T\mathcal{T}'.

Keywords

Cite

@article{arxiv.2603.09510,
  title  = {Fodor space in generalized descriptive set theory},
  author = {Ido Feldman and Miguel Moreno},
  journal= {arXiv preprint arXiv:2603.09510},
  year   = {2026}
}
R2 v1 2026-07-01T11:12:19.065Z