A combinatorial proof of a stronger dense Hindman theorem
Volume 162 / 2020
Colloquium Mathematicum 162 (2020), 303-310
MSC: Primary 05D10; Secondary 03C20.
DOI: 10.4064/cm8106-12-2019
Published online: 14 May 2020
Abstract
Drawing on ideas of H. Towsner we prove, by elementary methods, that for any finite partition of the natural numbers some cell is a D-set, i.e. a member of some ultrafilter all of whose members have positive upper Banach density.
