Parametric surfaces

Author:

Besicovitch A. S.

Abstract

In 1914 Carathéodory defined m–dimensional measure in n–dimensional space. He considered one-dimensional measure as a generalization of length and he proved that the length of a rectifiable curve coincides with its one-dimensional measure.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference7 articles.

1. A general form of the covering principle;Besioovitch;Proc. Cambridge Phil. Soc.,1946

2. On the problem of plateau;Rado;Ergebn. Math. Grenzgeb.,1933

3. Dimension und äusseres Mass;Math. Ann.,1919

4. Sur l'exemple d'une surface dont l'aire est égale à zéro et qui remplit un cube;Geöcze;Bull. Soc. Math. France,1913

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