Ai-Jun Xu, Wei-Xue Shi (2009)
Czechoslovak Mathematical Journal
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We provide a necessary and sufficient condition under which a generalized ordered topological product (GOTP) of two GO-spaces is monotonically Lindelöf.
Kočinac, Lj. (1986)
Publications de l'Institut Mathématique. Nouvelle Série
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Witold Bula (1984)
Fundamenta Mathematicae
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Scott Williams, William Fleischman (1974)
Fundamenta Mathematicae
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Harold Bennett, William Fleissner, David Lutzer (1980)
Fundamenta Mathematicae
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Ai-Jun Xu (2015)
Open Mathematics
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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.
P. Nyikos, H. Reichel (1976)
Fundamenta Mathematicae
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