A discretized approach to W.T. Gowers' game
arXiv:0904.2313
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.
Revised version, 13 pages