Subject: dense subset - LINDAT/CLARIAH-CZ Catalog Search Results

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Creator:: Novák, Vítězslav and Vránová, Lidmila
Format:: bez média and svazek
Type:: model:article and TEXT
Subject:: ordered set, weakly dense subset, dense subset, and separability
Language:: English
Description:: Some modifications of the definition of density of subsets in ordered (= partially ordered) sets are given and the corresponding concepts are compared.
Rights:: http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

Creator:: Novák, Vítězslav and Novotný, Miroslav
Format:: bez média and svazek
Type:: model:article and TEXT
Subject:: ordered set, linear extension, natural representation, lexicographic sum, and dense subset
Language:: English
Description:: 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.
Rights:: http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

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