The dimension of two levels of the Boolean lattice

DOI10.1016/S0012-365X(98)00316-1zbMath0941.06004OpenAlexW2100620009MaRDI QIDQ1301734

Henry A. Kierstead

Publication date: 12 September 1999

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

Full work available at URL: https://doi.org/10.1016/s0012-365x(98)00316-1

zbMATH Keywords

surveydimensionBoolean latticepartially orderd set

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Extremal set theory (05D05) Research exposition (monographs, survey articles) pertaining to ordered structures (06-02)

Related Items (6)

On the boxicity of Kneser graphs and complements of line graphs ⋮ Improved bounds for the dimension of divisibility ⋮ Infinite combinatorial issues raised by lifting problems in universal algebra ⋮ An infinite combinatorial statement with a poset parameter ⋮ On Covering Numbers, Young Diagrams, and the Local Dimension of Posets ⋮ The maximum number of edges in a graph of bounded dimension, with applications to ring theory

Cites Work

• Combinatorial set theory: Partition relations for cardinals
• On the dimensions of ordered sets of bounded degree
• Set theory. An introduction to independence proofs
• 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
• The dimension of the finite subsets of \(\kappa\)
• On the order dimension of 1-sets versus \(k\)-sets
• On Dedekind's Problem: The Number of Isotone Boolean Functions. II
• Minimal scrambling sets of simple orders
• Concerning a Certain Set of Arrangements

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