On Kelley's intersection numbers.

Autor: Fred Galvin, Karel Prikry
Předmět:
Zdroj: Proceedings of the American Mathematical Society; Feb2001, Vol. 129 Issue 2, p315-323, 9p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index