Selection principles related to $α_i$-properties

Ljubiša D. R. Kočinac

Published 2006-08-03Version 1

We investigate selection principles which are motivated by Arhangel'ski\v{i}'s $\alpha_i$-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.