It is consistent that there exists an ordered real closed field which is not hyper-real.
Stojanović, Jadran, Perović, Žikica (1997)
Publications de l'Institut Mathématique. Nouvelle Série
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Displaying similar documents to “Bi-quotient images of ordered spaces.”
It is consistent that there exists an ordered real closed field which is not hyper-real.
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Ordered sequence spaces
Arens, Richard (1951)
Portugaliae mathematica
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Separation properties of the Wallman ordered compactification.
Kent, Darrell C., Richmond, T.A. (1990)
International Journal of Mathematics and Mathematical Sciences
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Notes on monotonically metacompact generalized ordered spaces
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.
Locally partially ordered groups
J. Blair Roll (1993)
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Sequential properties of ordered topological spaces
Paul R. Meyer (1969)
Compositio Mathematica
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