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Length, area and volume

Published online by Cambridge University Press:  03 November 2016

C. A. Rogers
C. A. Rogers*
Affiliation:
University College, London WC1E 6BT
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Type
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Information
The Mathematical Gazette , Volume 57 , Issue 400 , June 1973 , pp. 100 - 110
Copyright
Copyright © Mathematical Association 1973 

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References

1. Banach, S., Sur le problème de la mesure, Fundam. Math. 4, 7–33 (1923).Google Scholar
2. Besicovitch, A. S., On the definition of the area of a surface by means of inscribed polyhedra, J. Lond. math. Soc. 19, 138–141 (1944).Google Scholar
3. Carathéodory, C., Über das lineare Mass von Punktmengen—eine Verallgemeine-rung des Lãngenbegriff, Nachr. Ges. Wiss. Göttingen 404–426 (1914).Google Scholar
4. Eggleston, H. G., Problems in Euclidean Space, Pergamon (1957).Google Scholar
5. Federer, H., Geometric Measure Theory. Springer (Berlin, 1969).Google Scholar
6. Hausdorfif, F., Mengenlehre (1st edition Leipzig, 1914); reprinted Chelsea Publishing Company (New York, 1949).Google Scholar
7. Hausdorff, F., Dimension und ãusseres Mass, Math. Annln 79, 157–179 (1919).Google Scholar
8. Meschkowski, H., Unsolved and Unsolvable Problems in Geometry. Oliver and Boyd (1966).Google Scholar
9. Neuman, J. von, Zur allgemeinen Théorie des Masses, Fundam. Math. 13, 73–116 (1929).Google Scholar
10. Rogers, C. A., Hausdorff Measures. Cambridge University Press (1970).Google Scholar
11. Solovay, R. M., A model of set theory in which every set of reals is Lebesgue measurable, Ann. Math. 92, 1–55 (1970).Google Scholar