# 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} }

1.Introduction. Suppose X is a set, π a collection of sets (usually subsets of X), and N is cardinal number. Following the terminology of Rado [1], we say π is N-regular in X if,for any partition of X into N parts, some part has as a subset a member of π. if π is n-regular in X for each integer n, we say π is regular in X.Β

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