COLORING EQUILATERAL TRIANGLES
Abstract It is consistent relative to an inaccessible cardinal that ZF+DC holds, the hypergraph of equilateral triangles on a given Euclidean space has countable chromatic number, while the hypergraph of isosceles triangles on $\mathbb {R}^2$ does not.
Authors
- Jindřich Zapletal (ORCID: https://orcid.org/0000-0003-3437-5073)
Institutions
- University of Florida (US)
Publication Details
- Journal
- Journal of Symbolic Logic
- Published
- 2025-04-06
- DOI
- https://doi.org/10.1017/jsl.2025.26
- Primary Topic
- Mathematics and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00