Geodesic
Determinacy of adversarial Gowers games
Christian Rosendal1
1 Department of Mathematics, Statistics and Computer Science (M/C 249) University of Illinois at Chicago 851 S. Morgan St. Chicago, IL 60607-7045, U.S.A.
Fundamenta Mathematicae, Tome 227 (2014) no. 2, pp. 163-178.

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

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 ${\bf \Sigma }^0_3$ determinacy.
DOI : 10.4064/fm227-2-3
Keywords: prove game theoretic dichotomy delta sigma sets block sequences vector spaces extends block ramsey theorem gowers proved analytic sets block sequences other davis proof sigma determinacy

Christian Rosendal 1

1 Department of Mathematics, Statistics and Computer Science (M/C 249) University of Illinois at Chicago 851 S. Morgan St. Chicago, IL 60607-7045, U.S.A. 
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Christian Rosendal. Determinacy of adversarial Gowers games. Fundamenta Mathematicae, Tome 227 (2014) no. 2, pp. 163-178. doi : 10.4064/fm227-2-3. http://geodesic.mathdoc.fr/articles/10.4064/fm227-2-3/

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