Determinacy of adversarial Gowers games
Fundamenta Mathematicae (2014)
- Volume: 227, Issue: 2, page 163-178
- ISSN: 0016-2736
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topChristian Rosendal. "Determinacy of adversarial Gowers games." Fundamenta Mathematicae 227.2 (2014): 163-178. <http://eudml.org/doc/282907>.
@article{ChristianRosendal2014,
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 Σ⁰₃ determinacy.},
author = {Christian Rosendal},
journal = {Fundamenta Mathematicae},
keywords = {Ramsey theory; determinacy; infinite games in vector spaces; block Ramsey theorem},
language = {eng},
number = {2},
pages = {163-178},
title = {Determinacy of adversarial Gowers games},
url = {http://eudml.org/doc/282907},
volume = {227},
year = {2014},
}
TY - JOUR
AU - Christian Rosendal
TI - Determinacy of adversarial Gowers games
JO - Fundamenta Mathematicae
PY - 2014
VL - 227
IS - 2
SP - 163
EP - 178
AB - 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 Σ⁰₃ determinacy.
LA - eng
KW - Ramsey theory; determinacy; infinite games in vector spaces; block Ramsey theorem
UR - http://eudml.org/doc/282907
ER -
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