English

Topology, forcing, and graph colourings

General Topology 2026-04-08 v1 Logic

Abstract

We introduce a family of forcing notions that are helpful in showing that certain graphs do not have countable colourings of (additive) Borel class alpha. We construct graphs that are ''weakly minimal'' for such colourings.

Keywords

Cite

@article{arxiv.2604.05554,
  title  = {Topology, forcing, and graph colourings},
  author = {Noam Greenberg and Dominique Lecomte and Dan Turetsky and Miroslav Zelen},
  journal= {arXiv preprint arXiv:2604.05554},
  year   = {2026}
}
R2 v1 2026-07-01T11:56:52.611Z