Determinacy of adversarial Gowers games

2012/08/11 by Rosendal, Christian
#FOS: Mathematics #Functional Analysis (math.FA) #Logic (math.LO)

paper · doi:10.48550/arxiv.1208.2384

Abstract

We prove a game theoretic dichotomy for G_δσ sets of block sequences in vector spaces that extends, on the one hand, the block Ramsey theorem of W. T. Gowers proved for analytic sets of block sequences and, on the other hand, M. Davis' proof of G_δσ determinacy.

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