A new proof of Kelley's Theorem

Volume 140 / 1991

Siu-Ah Ng 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.

Authors

  • Siu-Ah NgDepartment of Pure Mathematics
    University of Hull
    Hull, HU6 7RX England

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