Geodesic
A Discretized Approach to W. T. Gowers' Game
V. Kanellopoulos1 ; K. Tyros1
1 Department of Mathematics Faculty of Applied Sciences National Technical University of Athens Zografou Campus 157 80, Athens, Greece
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 58 (2010) no. 1, pp. 1-16.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ba58-1-1
Keywords: alternative proof gowers theorem block bases reducing discrete analogue specific countable nets ramsey type result k tuples block sequences normed linear space schauder basis

V. Kanellopoulos 1 ; K. Tyros 1

1 Department of Mathematics Faculty of Applied Sciences National Technical University of Athens Zografou Campus 157 80, Athens, Greece 
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V. Kanellopoulos; K. Tyros. A Discretized Approach to W. T. Gowers' Game. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 58 (2010) no. 1, pp. 1-16. doi : 10.4064/ba58-1-1. http://geodesic.mathdoc.fr/articles/10.4064/ba58-1-1/

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