On the Boolean structure generated by -points of
Stanislav Krajči, Peter Vojtáš (1995)
Acta Universitatis Carolinae. Mathematica et Physica
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Stanislav Krajči, Peter Vojtáš (1995)
Acta Universitatis Carolinae. Mathematica et Physica
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Fundamenta Mathematicae
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B. Rotman (1972)
Fundamenta Mathematicae
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Portugaliae mathematica
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Czechoslovak Mathematical Journal
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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.