On cyclically ordered intervals of integers
S. Świerczkowski (1959)
Fundamenta Mathematicae
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S. Świerczkowski (1959)
Fundamenta Mathematicae
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P. Erdös, A. Hajnal (1962)
Fundamenta Mathematicae
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V. Novák (1964)
Fundamenta Mathematicae
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Brian Scott (1981)
Fundamenta Mathematicae
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F. Bagemihl, L. Gillman (1956)
Fundamenta Mathematicae
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Edwin Miller (1936)
Fundamenta Mathematicae
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Lai, Hon-Fei (1968)
Portugaliae mathematica
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N. Aronszajn (1952)
Fundamenta Mathematicae
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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.