This is an announcement for the paper "Determinacy of adversarial Gowers games" by Christian Rosendal.

Abstract: We prove a game theoretic dichotomy for $G_{\delta\sigma}$ 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 $G_{\delta\sigma}$ determinacy.

Archive classification: math.LO math.FA

Submitted from: rosendal.math@gmail.com

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1208.2384

or

http://arXiv.org/abs/1208.2384