On feebly compact semitopological semilattice ${\exp }_n\lambda$

Abstract

We study feebly compact shift-continous topologies on the semilattice $\left({\exp }_n\lambda ,\cap \right)$. It is proved that such $T_1$-topology is sequentially pracompact if and only if it is $\mathfrak{D}(\omega )$-compact.

6 pages and diagram