A Discretized Approach to W. T. Gowers' Game
Volume 58 / 2010
Bulletin Polish Acad. Sci. Math. 58 (2010), 1-16
MSC: 05D10, 46B03.
DOI: 10.4064/ba58-1-1
Abstract
We give an alternative proof of W. T. Gowers' theorem on block bases by reducing it to a discrete analogue on specific countable nets. We also give a Ramsey type result on $k$-tuples of block sequences in a normed linear space with a Schauder basis.
