Notes on monotonically metacompact generalized ordered spaces

In this paper, we show that any generalized ordered space X is monotonically (countably) metacompact if and only if the subspace X - { x } is monotonically (countably) metacompact for every point x of X and monotone (countable) metacompact property is hereditary with respect to convex (open) subsets...

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Published in:Open mathematics (Warsaw, Poland) Poland), 2015-02, Vol.13 (1)
Main Author: Xu, Ai-Jun
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Language:English
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Generalized ordered spaces
Monotonically countably metacompact
Monotonically metacompact
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description In this paper, we show that any generalized ordered space X is monotonically (countably) metacompact if and only if the subspace X - { x } 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 by H.R. Bennett, K.P. Hart and D.J. Lutzer.
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subjects Generalized ordered spaces
Monotonically countably metacompact
Monotonically metacompact
title Notes on monotonically metacompact generalized ordered spaces
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