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Sets which are null or non-sigma-finite for every translation invariant measure

Published online by Cambridge University Press:  26 February 2010

Roy O. Davies
Roy O. Davies
Affiliation:
Department of Mathematics, University of Leicester.
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Extract

An example will be given of a compact linear set K which is of zero or non-σ-finite measure for every translation-invariant Borel measure. This answers a question asked me by C. Dellacherie.

Type
Research Article
Information
Mathematika , Volume 18 , Issue 2 , December 1971 , pp. 161 - 162
Copyright
Copyright © University College London 1971

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References

1.Best, E., “A closed dimensionless linear set”, Proc. Edinburgh Math. Soc. (2), 6 (1939–1941), 105–108.CrossRefGoogle Scholar
2.Besicovitch, A. S., “On linear sets of points of fractional dimension—II ”, J. London Math. Soc., 43 (1968), 548–550.CrossRefGoogle Scholar
3.Larman, D. G., “The approximation of Gδ-sets, in measure, by Fσ-sets ”, Proc. Cambridge Phil. Soc., 61 (1965), 105–107.CrossRefGoogle Scholar