The fractional dimension of subsets of Boolean lattices and cartesian products

DOI10.1016/S0012-365X(98)00317-3zbMath0940.06004MaRDI QIDQ1301736

Utz Leimich, Klaus Reuter

Publication date: 24 July 2000

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

MacNeille completionBoolean latticefractional dimension3-irreducible orders

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07)

Cites Work

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• On the dimension of the Cartesian product of relations and orders
• The order dimension of two levels of the Boolean lattices
• The dimension of interior levels of the Boolean lattice
• The dimension of suborders of the Boolean lattice
• On the fractional dimension of partially ordered sets
• Fractional dimension of partial orders
• Matchings and covers in hypergraphs
• On the order dimension of 1-sets versus \(k\)-sets
• Minimal scrambling sets of simple orders
• Partially Ordered Sets
• Concerning a Certain Set of Arrangements
• On the dimension of partially ordered sets

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