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Two singular measures can agree on balls

Part of: Classical measure theory

Published online by Cambridge University Press:  26 February 2010

R. B. Darst
R. B. Darst
Affiliation:
Colorado State University, Fort Collins, Colorado, 80521, U.S.A.
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Extract

Our result complements an interesting result of Roy O. Davies [1]; we assume familiarity with his paper. We use the details of the construction that he uses to prove his Theorem II.

MSC classification

Secondary: 28A10: Real- or complex-valued set functions
Type
Research Article
Information
Mathematika , Volume 20 , Issue 2 , December 1973 , pp. 224 - 225
Copyright
Copyright © University College London 1973

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References

1. Davies, Roy O., “Measures not approximable or not specifiable by means of balls”, Mathematika, 18 (1971), 157–160.CrossRefGoogle Scholar
2. Halmos, Paul R., Measure theory (Van Nostrand, New York, 1950).CrossRefGoogle Scholar