Regularity and Positional Games

@article{Hales1963RegularityAP,
  title={Regularity and Positional Games},
  author={Alfred W. Hales and Robert I. Jewett},
  journal={Transactions of the American Mathematical Society},
  year={1963},
  volume={106},
  pages={222-229}
}
  • A. Hales, R. Jewett
  • Published 1 February 1963
  • Mathematics
  • Transactions of the American Mathematical Society
1.Introduction. Suppose X is a set, π’ž a collection of sets (usually subsets of X), and N is cardinal number. Following the terminology of Rado [1], we say π’ž is N-regular in X if,for any partition of X into N parts, some part has as a subset a member of π’ž. if π’ž is n-regular in X for each integer n, we say π’ž is regular in X.Β 

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