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arxiv: math/0510680 · v3 · pith:EFBCVAJPnew · submitted 2005-10-31 · 🧮 math.GN · math.CO· math.LO

Menger's covering property and groupwise density

classification 🧮 math.GN math.COmath.LO
keywords densitygroupwisemengerpropertyconnectioncoveringadditivityblass
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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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