Rectification of sets in Euclidean spaces |
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Authors: | Alexander A Zykov |
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Institution: | (1) South Centre of Acad. Sci. Ukraine, Thälmann Lane, 6, 270044 Odessa, Ukraine |
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Abstract: | We criticize traditional definitions of the arc length which require semi-continuity from below. Symmetric definitions of lower and uppern-lengths (n-dimensional volumes) are introduced for a wide class of sets in Euclidean spaces, and the additivity of both functionals is proved. |
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