On Kelley's intersection numbers

Fred Galvin, Karel Prikry

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We introduce a notion of weak intersection number of a collection of sets, modifying the notion of intersection number due to J.L. Kelley, and obtain an analogue of Kelley's characterization of Boolean algebras which support a finitely additive strictly positive measure. We also consider graph-theoretic reformulations of the notions of intersection number and weak intersection number.

Original languageEnglish (US)
Pages (from-to)315-323
Number of pages9
JournalProceedings of the American Mathematical Society
Volume129
Issue number2
DOIs
StatePublished - 2001

Keywords

  • Boolean algebra
  • Fractional chromatic number
  • Hypergraph
  • Intersection number
  • Strictly positive measure
  • Weak intersection number

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