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Translation invariant measures which are not Hausdorff measures

Published online by Cambridge University Press:  24 October 2008

K. E. Hirst
K. E. Hirst
Affiliation:
University of Southampton
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Extract

An important and much-investigated class of measures is the class of Hausdorff measures, first defined by Hausdorff (1). These measures form a subclass of the class of translation invariant measures, but just how wide a class they form is not known.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 62 , Issue 4 , October 1966 , pp. 693 - 698
Copyright
Copyright © Cambridge Philosophical Society 1966

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References

REFERENCES

(1)Hausdorff, F.Dimension und äusseres Mass. Math. Ann. 79 (1919), 157–179.CrossRefGoogle Scholar
(2)Munroe, M. E.Introduction to measure and integration (Addison-Wesley, 1953).Google Scholar
(3)Besicovitch, A. S.On the definition of tangents to sets of infinite linear measure. Proc. Cambridge Philos. Soc. 52 (1956), 20–29.CrossRefGoogle Scholar
(4)Rogers, C. A.Sets non-σ-finite for Hausdorff measures. Mathematika 9 (1962), 95–103.CrossRefGoogle Scholar