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A characterization of universally measurable sets

Published online by Cambridge University Press:  24 October 2008

R. B. Darst
Affiliation:
Purdue University

Extract

The purpose of this note is to complement some recent results of R. O. Davies and H.G.Eggleston.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

REFERENCES

(1)Darst, R. B.A universal null set which is not concentrated. Fund. Math. 62 (1968).CrossRefGoogle Scholar
(2)Davies, R. O.Remarks on measurable sets and functions. J. Res. Nat. Bur. Standards, Sect. B., 70B (1966), 8384.CrossRefGoogle Scholar
(3)Davies, R. O.Some sets with measurable inverses. Proc. Cambridge Philos. Soc. (to appear).Google Scholar
(4)Eggleston, H. G.Concentrated sets. Proc. Cambridge Philos. Soc. 63 (1967), 931933.CrossRefGoogle Scholar
(5)Goldman, A. J.On measurable sets and functions. J. Res. Nat. Bur. Standards, Sect. B, 69B (1965), 99100.CrossRefGoogle Scholar
(6)Saks, S.Theory of the integral, 2nd ed. Monografje Mat., vol. 7, Warsaw 1937 (reprinted Stechert–Hafner Pub. Co., New York).Google Scholar