Convexly generated $k$-dimensional measures
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- by Edward F. Moore PDF
- Proc. Amer. Math. Soc. 2 (1951), 597-606 Request permission
References
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C. Carathéodory, Über das lineare Mass von Punktmengen—eine Verallgemeinerung des Langenbegriffs, Nachr. Ges. Wiss. Göttingen (1914) pp. 404-426.
- Herbert Federer, The $(\varphi ,k)$ rectifiable subsets of $n$-space, Trans. Amer. Math. Soc. 62 (1947), 114–192. MR 22594, DOI 10.1090/S0002-9947-1947-0022594-3
- Felix Hausdorff, Dimension und äußeres Maß, Math. Ann. 79 (1918), no. 1-2, 157–179 (German). MR 1511917, DOI 10.1007/BF01457179
- Arthur Sard, The equivalence of $n$-measure and Lebesgue measure in $E_n$, Bull. Amer. Math. Soc. 49 (1943), 758–759. MR 8837, DOI 10.1090/S0002-9904-1943-08025-1
Additional Information
- © Copyright 1951 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 2 (1951), 597-606
- MSC: Primary 27.2X
- DOI: https://doi.org/10.1090/S0002-9939-1951-0043175-8
- MathSciNet review: 0043175