vix.ing · top · new · best · stats · spec

A discretized approach to W.T. Gowers' game

2009/04/15 by Vassilis Kanellopoulos, Kanellopoulos, V., Konstantinos Tyros +1
Mathematics · Computer Science · #Advanced Topology and Set Theory #Mathematical Dynamics and Fractals #Computability, Logic, AI Algorithms

paper · pdf · doi:10.48550/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.

Related