More on lines in Euclidean Ramsey theory
Let $\ell _m$ be a sequence of $m$ points on a line with consecutive points at distance one. Answering a question raised by Fox and the first author and independently by Arman and Tsaturian, we show that there is a natural number $m$ and a red/blue-colouring of $\mathbb{E}^n$ for every $n$ that cont...
Saved in:
Main Authors: | Conlon, David, Wu, Yu-Han |
---|---|
Format: | Article |
Language: | English |
Published: |
Académie des sciences
2023-07-01
|
Series: | Comptes Rendus. Mathématique |
Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.452/ |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Optimal Consumption in a Stochastic Ramsey Model with Cobb-Douglas Production Function
by: Md. Azizul Baten, et al.
Published: (2013-01-01) -
Scattering amplitudes from Euclidean correlators: Haag-Ruelle theory and approximation formulae
by: Agostino Patella, et al.
Published: (2025-01-01) -
Joins of Euclidean orbital topologies
by: Ellen Clay
Published: (1997-01-01) -
First eigenvalue of submanifolds in Euclidean space
by: Kairen Cai
Published: (2000-01-01) -
A Class of Weingarten Surfaces in Euclidean 3-Space
by: Yu Fu, et al.
Published: (2013-01-01)