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arXiv:math/0412498 [math.GN]AbstractReferencesReviewsResources

A semifilter approach to selection principles

Lubomyr Zdomsky

Published 2004-12-27Version 1

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.

Comments: LaTeX 2e, 15 pages, submitted to Comment. Math. Univ. Carolinae
Categories: math.GN, math.CO
Subjects: 54D20, 03E17, 03E35
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