2008/09/10 by Beiglboeck, Mathias
#05D10 #Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.0809.1709
Using the algebraic structure of the Stone-Cech compactification of the integers, Furstenberg and Glasner proved that for arbitrary k, every piecewise syndetic set contains a piecewise syndetic set of k-term arithmetic progressions. We present a purely combinatorial argument which allows to derive this result directly from van der Waerden's Theorem.