A semifilter approach to selection principles

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

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General Topology, Combinatorics, 54D20 (Primary); 03E17, 03E35 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/73703

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0412498
 http://arxiv.org/abs/math/0412498

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arXiv