paper

All simplices exhibit canonical Ramsey property

arXiv:2607.11782

Abstract

We prove that all nondegenerate simplices have the canonical Ramsey property, thereby resolving a central open problem in canonical Euclidean Ramsey theory and providing a canonical counterpart to the celebrated simplex Ramsey theorem of Frankl and Rödl~[JAMS, 1990].

arXiv comment8 pages