A semifilter approach to selection principles

Details A semifilter approach to selection principles A semifilter approach to selection principles

2004-12-27

arxiv.org/abs/math/0412498v1

Mathematics

General Topology

LaTeX 2e, 15 pages, submitted to Comment. Math. Univ. Carolinae

Scientific paper

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.

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