Dense subsets of ordered sets

Vítězslav Novák; Lidmila Vránová

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Displaying similar documents to “Dense subsets of ordered sets”

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.

Cuts in cyclically ordered sets

Vítězslav Novák (1984)

Czechoslovak Mathematical Journal

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Some cardinal characteristics of ordered sets

Vítězslav Novák (1998)

Czechoslovak Mathematical Journal

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For ordered (= partially ordered) sets we introduce certain cardinal characteristics of them (some of those are known). We show that these characteristics—with one exception—coincide.