On Kelley's intersection numbers

Fred Galvin; Karel Prikry

doi:10.1090/s0002-9939-00-05561-1

On Kelley's intersection numbers

Fred Galvin, Karel Prikry

Mathematics

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5 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 language	English (US)
Pages (from-to)	315-323
Number of pages	9
Journal	Proceedings of the American Mathematical Society
Volume	129
Issue number	2
DOIs	https://doi.org/10.1090/s0002-9939-00-05561-1
State	Published - 2001

Keywords

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

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AU - Prikry, Karel

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KW - Boolean algebra

KW - Fractional chromatic number

KW - Hypergraph

KW - Intersection number

KW - Strictly positive measure

KW - Weak intersection number

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On Kelley's intersection numbers

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Keywords

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