The dimension of two levels of the Boolean lattice

Henry Kierstead

doi:10.1016/S0012-365X(98)00316-1

The dimension of two levels of the Boolean lattice

Henry Kierstead

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

Let B(j, k; n) be the ordered set obtained by ordering the j element and k element subsets of an n element set by inclusion. We review results and proof techniques concerning the dimension dim(j, k; n) of B(j, k; n) for various ranges of the arguments j, k, and n.

Original language	English (US)
Pages (from-to)	141-155
Number of pages	15
Journal	Discrete Mathematics
Volume	201
Issue number	1-3
DOIs	https://doi.org/10.1016/S0012-365X(98)00316-1
State	Published - Apr 28 1999

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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10.1016/S0012-365X(98)00316-1

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abstract = "Let B(j, k; n) be the ordered set obtained by ordering the j element and k element subsets of an n element set by inclusion. We review results and proof techniques concerning the dimension dim(j, k; n) of B(j, k; n) for various ranges of the arguments j, k, and n.",

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AB - Let B(j, k; n) be the ordered set obtained by ordering the j element and k element subsets of an n element set by inclusion. We review results and proof techniques concerning the dimension dim(j, k; n) of B(j, k; n) for various ranges of the arguments j, k, and n.

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The dimension of two levels of the Boolean lattice

Abstract

ASJC Scopus subject areas

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