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On Kelley's intersection numbers |
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| Authors: | Fred Galvin Karel Prikry |
| Institution: | Department of Mathematics, University of Kansas, Lawrence, Kansas 66045 ; School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455 |
| 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. |
| Keywords: | Boolean algebra strictly positive measure intersection number weak intersection number hypergraph fractional chromatic number |
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