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The dimension of Cartesian product sets

Published online by Cambridge University Press:  24 October 2008

J. M. Marstrand
J. M. Marstrand
Affiliation:
St John's CollegeCambridge
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Extract

Given a plane set E, we denote by Ex the set of its points whose abscissae are equal to x.

Throughout this paper we use the letters A and B to denote subsets of the x-axis and y-axis respectively, and we denote by A × B their Cartesian product set. We use the letters s and t to denote positive numbers; we denote by ΛsE the outer Hausdorff s-dimensional measure of the set E.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 50 , Issue 2 , April 1954 , pp. 198 - 202
Copyright
Copyright © Cambridge Philosophical Society 1954

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References

REFERENCES

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