Approximate Euclidean Ramsey theorems
According to a classical result of Szemerédi, every dense subset of 1,2,…,<em>N</em> contains an arbitrary long arithmetic progression, if <em>N</em> is large enough. Its analogue in higher dimensions due to Fürstenberg and Katznelson says that every dense subset of {1,2,…,&l...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Carleton University
2011-04-01
|
| Series: | Journal of Computational Geometry |
| Online Access: | http://jocg.org/index.php/jocg/article/view/38 |