2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115283We 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.Taiwanese Journal of Mathematics, acceptedGeneral Topology54D20, 54B20, 54D55, 54H11text