English

No universal graphs at uncountable regular cardinals

Logic 2022-06-02 v1

Abstract

Assuming the existence of a strong cardinal, we find a model of ZFC in which for each uncountable regular cardinal λ,\lambda, there is no universal graph of size λ\lambda.

Cite

@article{arxiv.2206.00351,
  title  = {No universal graphs at uncountable regular cardinals},
  author = {Mohammad Golshani},
  journal= {arXiv preprint arXiv:2206.00351},
  year   = {2022}
}

Comments

This is the preliminary version of the paper which only sketches the proof. The details will appear in the next version of the paper

R2 v1 2026-06-24T11:35:42.546Z