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Bry, François (1981): Note on a theorem of J. Folkman on transversals of infinite families with finitely many infinite members. In: Journal of Combinatorial Theory - Series B, Vol. 30, No. 1: pp. 100-102
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Abstract

In this note we show by a simple direct proof that Folkman's necessary and sufficient condition for an infinite family of sets with finitely many infinite members to have a transversal implies Woodall's condition. A short proof of Folkman's theorem results by combining with Woodall's proof.