A new proof of Kelley's Theorem

• Autorzy: S. A. Ng
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 28A60: Measures on Boolean rings, measure algebras
• 03H05: Nonstandard models in mathematics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1991-1992
• Tom: 140
• Numer: 1
• Strony: 63-67

Daty

wydano

1991

otrzymano

1990-11-22

poprawiono

1991-06-24

Twórcy

autor

S. A. Ng

• Department of Pure Mathematics, University of Hull, Hull, HU6 7RX England

Bibliografia

• [F] D. H. Fremlin, Measure algebras, in: Handbook of Boolean Algebra, Vol. III, J. D. Monk and R. Bonnet (eds.), North-Holland, Amsterdam 1989, 877-980.
• [HL] A. Hurd and P. A. Loeb, An Introduction to Nonstandard Real Analysis, Academic Press, New York 1985.
• [K] J. L. Kelley, Measures on Boolean algebras, Pacific J. Math. 9 (1959), 1165-1177.
• [L] T. L. Lindstrøm, An invitation to nonstandard analysis, in: Nonstandard Analysis and its Applications, N.J. Cutland (ed.), Cambridge University Press, 1988, 1-105.