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A semifilter approach to selection principles

Lubomyr Zdomsky
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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.

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Lubomyr Zdomsky. 2004-12-27. A semifilter approach to selection principles. https://arxiv.org/abs/math/0412498

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