Selection principles related to $α_i$-properties

Details Selection principles related to $α_i$-properties Selection principles related to $α_i$-properties

2006-08-03

arxiv.org/abs/math/0608107v1

Mathematics

General Topology

Taiwanese Journal of Mathematics, accepted

Scientific paper

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.

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