A new proof of Kelley's Theorem
Volume 140 / 1991
Fundamenta Mathematicae 140 (1991), 63-67
DOI: 10.4064/fm-140-1-63-67
Abstract
Kelley's Theorem is a purely combinatorial characterization of measure algebras. We first apply linear programming to exhibit the duality between measures and this characterization for finite algebras. Then we give a new proof of the Theorem using methods from nonstandard analysis.
