English

On the existence of small antichains for definable quasi-orders

Logic 2020-02-18 v1 Combinatorics

Abstract

We generalize Kada's definable strengthening of Dilworth's characterization of the class of quasi-orders admitting an antichain of a given finite cardinality.

Keywords

Cite

@article{arxiv.2002.06433,
  title  = {On the existence of small antichains for definable quasi-orders},
  author = {Raphaël Carroy and Benjamin D. Miller and Zoltán Vidnyánszky},
  journal= {arXiv preprint arXiv:2002.06433},
  year   = {2020}
}