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Menger's covering property and groupwise density

Boaz Tsaban, Lyubomyr Zdomskyy

math.GNarXiv:math/0510680

Abstract

We establish a surprising connection between Menger's classical covering property and Blass's modern combinatorial notion of groupwise density. This connection implies a short proof of the groupwise density bound on the additivity number for Menger's property.

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