ON FEEBLY COMPACT SEMITOPOLOGICAL SEMILATTICE ex[p.sub.n] [lambda]

We study feebly compact shift-continuous topologies on the semilattice (ex[p.sub.n] [lambda];[intersection]). It is shown that a [T.sub.1]-topology of this kind is sequentially pracompact if and only if it is D([omega])-compact. Keywords: semitopological semilattice, feebly compact, H-closed, infra-H-closed, Y-compact, sequentially countably pracompact, selectively sequentially feebly compact, selectively feebly compact, sequentially feebly compact, sunflower lemma, [DELTA] -system.
We follow the terminology of [4, 9, 10, 23]. If X is a topological space and A [??] X, then we denote the closure and interior of A in X [...]