Selection principles related to α_i-properties

2006/08/03 by Ljubiša D. R. Kočinac, Kočinac, Ljubiša D. R.
Mathematics · #54B20 #54D20 #54D55 #54H11 #FOS: Mathematics #General Topology (math.GN) #math.GN #msc:54B20 #msc:54D20 #msc:54D55 #msc:54H11

paper · pdf · doi:10.48550/arxiv.math/0608107

Taiwanese Journal of Mathematics, accepted

arxiv created 2006/08/03 · arxiv updated 2009/12/01

Abstract

We investigate selection principles which are motivated by Arhangel'skiǐ's α_i-properties, i=1,2,3,4, and their relations with classical selection principles. It will be shown that they are closely related to the selection principle \sone and often are equivalent to it.

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