Notes on monotonically metacompact generalized ordered spaces

Abstract

Abstract:In this paper, we show that any generalized ordered space X is monotonically (countably) metacompact if and only if the subspace X fxg is monotonically (countably) metacompact for every point x of X and monotone (countable) metacompact property is hereditary with respect to convex (open) subsets in generalized ordered spaces. In addition, we show the equivalence of two questions posed