A semifilter approach to selection principles
General Topology
2007-05-23 v1 Combinatorics
Abstract
We develop the semifilter approach to the classical Menger and Hurewicz covering properties and show that the small cardinal g is a lower bound of the additivity number of the family of Menger subspaces of the Baire space, and under u< g every subset X of the real line with the property Split(Lambda,Lambda) is Hurewicz.
Keywords
Cite
@article{arxiv.math/0412498,
title = {A semifilter approach to selection principles},
author = {Lubomyr Zdomsky},
journal= {arXiv preprint arXiv:math/0412498},
year = {2007}
}
Comments
LaTeX 2e, 15 pages, submitted to Comment. Math. Univ. Carolinae