Topology, forcing, and graph colourings

Fuente: arXiv
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Main Authors: Greenberg, Noam, Lecomte, Dominique, Turetsky, Dan, Zelen, Miroslav
Format: Preprint
Published: 2026
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author Greenberg, Noam
Lecomte, Dominique
Turetsky, Dan
Zelen, Miroslav
author_facet Greenberg, Noam
Lecomte, Dominique
Turetsky, Dan
Zelen, Miroslav
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2604_05554
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Topology, forcing, and graph colourings
Greenberg, Noam
Lecomte, Dominique
Turetsky, Dan
Zelen, Miroslav
General Topology
Logic
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.
title Topology, forcing, and graph colourings
topic General Topology
Logic
url https://arxiv.org/abs/2604.05554