The Dimension of Interior Levels of the Boolean Lattice, II

A. V. Kostochka, L. A. Talysheva

Research output: Contribution to journalArticle

Abstract

Extending an old lemma by Dushnik, we establish the dimension d(3, k; n) of the containment order generated by the 3-element and k-element subsets of an n-element set for most k between 2√n and n.

Original languageEnglish (US)
Pages (from-to)377-383
Number of pages7
JournalOrder
Volume15
Issue number4
DOIs
StatePublished - Jan 1 1998
Externally publishedYes

Keywords

  • Boolean lattice
  • Dimension

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology
  • Computational Theory and Mathematics

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