We show that any metacompact Moore space is monotonically metacompact and use
that result to characterize monotone metacompactness in certain generalized
ordered (GO)spaces. We show, for example, that a generalized ordered space with
a sigma-closed-discrete dense subset is metrizable if and only if it is
monotonically (countably) metacompact, that a monotonically (countably)
metacompact GO-space is hereditarily paracompact, and that a locally countably
compact GO-space is metrizable if and only if it is monotonically (countably)
metacompact.