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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- October 2005
- DOI:
- 10.48550/arXiv.math/0510680
- arXiv:
- arXiv:math/0510680
- Bibcode:
- 2005math.....10680T
- Keywords:
-
- Mathematics - General Topology;
- Mathematics - Combinatorics;
- Mathematics - Logic
- E-Print:
- Small updates