# A new proof of Kelley's Theorem

Fundamenta Mathematicae (1991)

- Volume: 140, Issue: 1, page 63-67
- ISSN: 0016-2736

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topNg, S.. "A new proof of Kelley's Theorem." Fundamenta Mathematicae 140.1 (1991): 63-67. <http://eudml.org/doc/211929>.

@article{Ng1991,

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.},

author = {Ng, S.},

journal = {Fundamenta Mathematicae},

keywords = {Boolean algebra; measure algebra; Kelley's theorem},

language = {eng},

number = {1},

pages = {63-67},

title = {A new proof of Kelley's Theorem},

url = {http://eudml.org/doc/211929},

volume = {140},

year = {1991},

}

TY - JOUR

AU - Ng, S.

TI - A new proof of Kelley's Theorem

JO - Fundamenta Mathematicae

PY - 1991

VL - 140

IS - 1

SP - 63

EP - 67

AB - 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.

LA - eng

KW - Boolean algebra; measure algebra; Kelley's theorem

UR - http://eudml.org/doc/211929

ER -

## References

top- [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. Zbl0583.26006
- [K] J. L. Kelley, Measures on Boolean algebras, Pacific J. Math. 9 (1959), 1165-1177. Zbl0087.04801
- [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. Zbl0658.03044

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