# Tag Archives: Deuber

## New polynomial and multidimensional extensions of classical partition results

Vitaly Bergelson, John Johnson and I recently uploaded to the arXiv a paper entitled “New polynomial and multidimensional extensions of classical partition results“. In this post I will give some motivating examples for the results in the paper. To keep … Continue reading

Posted in Combinatorics, paper, Ramsey Theory
Tagged Bergelson, Deuber, Johnson, monochromatic configurations, polynomials, Rado
1 Comment

## A proof of Deuber’s theorem using Hales-Jewett’s theorem

In my previous post I explained how Rado’s theorem follows from Deuber’s theorem (which in turn gives a little more than Rado’s theorem, in one direction). The main purpose of this post is to give a full proof of Deuber’s … Continue reading

## Rado’s theorem and Deuber’s theorem

In this post I talk about (and prove) a fundamental theorem of Rado in Ramsey’s theory. I will prove “half” of the theorem and will postpone the second part of the proof to a future post. To better appreciate Rado’s … Continue reading