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单词 Rectifiable Set
释义

Rectifiable Set

The rectifiable sets include the image of any Lipschitz Function from planar domains into . Thefull set is obtained by allowing arbitrary measurable subsets of countable unions of such images of Lipschitzfunctions as long as the total Area remains finite. Rectifiable sets have an ``approximate'' tangent plane at almost every point.


References

Morgan, F. ``What is a Surface?'' Amer. Math. Monthly 103, 369-376, 1996.


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