On Kelley’s intersection numbers-Reference-Cited by-同舟云学术

On Kelley’s intersection numbers

Published:2000-07-27 Issue:2 Volume:129 Page:315-323
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Galvin Fred,Prikry Karel

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2001-129-02/S0002-9939-00-05561-1/S0002-9939-00-05561-1.pdf

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