English

The Ramsey properties for Grassmannians over $\mathbb R$, $\mathbb C$

Combinatorics 2019-10-02 v1 Functional Analysis Logic

Abstract

In this note we study and obtain factorization theorems for colorings of matrices and Grassmannians over R\mathbb{R} and C{\mathbb{C}}, which can be considered metric versions of the Dual Ramsey Theorem for Boolean matrices and of the Graham-Leeb-Rothschild Theorem for Grassmannians over a finite field.

Cite

@article{arxiv.1910.00311,
  title  = {The Ramsey properties for Grassmannians over $\mathbb R$, $\mathbb C$},
  author = {Dana Bartošová and Jordi Lopez-Abad and Martino Lupini and Brice Mbombo},
  journal= {arXiv preprint arXiv:1910.00311},
  year   = {2019}
}
R2 v1 2026-06-23T11:31:25.887Z