Determinacy of adversarial Gowers games
Christian Rosendal
Fundamenta Mathematicae, Tome 227 (2014), p. 163-178 / Harvested from The Polish Digital Mathematics Library
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We prove a game-theoretic dichotomy for Gδσ 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 Σ⁰₃ determinacy.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:282907 
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     title = {Determinacy of adversarial Gowers games},
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     volume = {227},
     year = {2014},
     pages = {163-178},
     zbl = {1318.46002},
     language = {en},
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Christian Rosendal. Determinacy of adversarial Gowers games. Fundamenta Mathematicae, Tome 227 (2014) pp. 163-178. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm227-2-3/