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

Abstract

In this note we study and obtain factorization theorems for colorings of matrices and Grassmannians over $\mathbb{R}$ and $\mathbb{C}$, 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.

References in corpus (1)

• Extremely amenable groups via continuous logic