Abstract: In this paper, we prove that a space X
with a s-weakly hereditarily closure-preserving sn-network
has a s-compact-finite sn-network
if for each sequential-isolated point x
in X. As an application of this
result, we prove that a k-space X
has a s-compact-finite sn-network
iff X has a point-countable, s-weakly hereditarily closure-preserving sn-network,
which answers a question posed by L. Yan.