Menger's covering property and groupwise density

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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References in corpus (3)

• Some new directions in infinite-combinatorial topology
• A semifilter approach to selection principles
• Additivity numbers of covering properties

Cited by in corpus (4)

• Additivity numbers of covering properties
• Combinatorial images of sets of reals and semifilter trichotomy
• Selection Principles and special sets of reals: Open problems
• Omission of Intervals: Deducing covering properties of subsets of the real line from their combinatorial structure