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Representation of systems of measurable sets

Published online by Cambridge University Press:  24 October 2008

B. Bollobás
Affiliation:
University of Cambridge and Universitè Paris-Sud, Centre d' Orsay
N. Th. Varopoulos
Affiliation:
University of Cambridge and Universitè Paris-Sud, Centre d' Orsay

Extract

The aim of this note is to prove an analogue of P. Hall's theorem on distinct representatives (1) for a family of measurable sets.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1975

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References

REFERENCES

(1)Hall, P.On representatives of subsets. J. London Math. Soc. 10 (1935), 2630.CrossRefGoogle Scholar
(2)Rado, R.A theorem on general measure functions. Proc. London Math. Soc. 44 (1938), 6191.CrossRefGoogle Scholar
(3)Varopoulos, N.Th. Sur un problème d'interpolation. C.R. A. Sci. Paris Sér. A 274 (1972), 15391542.Google Scholar