On feebly compact shift-continuous topologies on the semilattice ${\exp }_n\lambda$

Oleg Gutik, Oleksandra Sobol

We study feebly compact topologies $\tau$ on the semilattice $\left({\exp }_n\lambda ,\cap \right)$ such that $\left({\exp }_n\lambda ,\tau \right)$ is a semitopological semilattice and prove that for any shi…