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math.LO2012
Determinacy of adversarial Gowers games
Christian Rosendal
We prove a game theoretic dichotomy for sets of block sequences in vector spaces that extends, on the one hand, the block Ramsey theorem of W. T. Gowers proved for analyti…
math.GR2012
Rigidity of commuting affine actions on reflexive Banach spaces
Christian Rosendal
We give a simple argument to show that if α is an affine isometric action of a product G x H of topological groups on a reflexive Banach space X with linear part π, then either π(H…