Embedding linearly ordered sets in real lexicographic products

I. Fleischer

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Displaying similar documents to “Embedding linearly ordered sets in real lexicographic products”

On the lexicographic dimension of linearly ordered sets

V. Novák (1964)

Fundamenta Mathematicae

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A remark on order-types.

K. Padmavally (1955)

Fundamenta Mathematicae

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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.

On certain properties of Fréchet L-spaces

Edwin Miller (1936)

Fundamenta Mathematicae

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Ordered sequence spaces

Arens, Richard (1951)

Portugaliae mathematica

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Linear extensions of orderings

Vítězslav Novák, Miroslav Novotný (2000)

Czechoslovak Mathematical Journal

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A construction is given which makes it possible to find all linear extensions of a given ordered set and, conversely, to find all orderings on a given set with a prescribed linear extension. Further, dense subsets of ordered sets are studied and a procedure is presented which extends a linear extension constructed on a dense subset to the whole set.

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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Partially Ordered Sets And Some Fixed Point Theorems

Milan R. Tasković (1980)

Publications de l'Institut Mathématique

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