TOPICS
Search

Rectifiable Set


The rectifiable sets include the image of any Lipschitz function f from planar domains into R^3. The full set is obtained by allowing arbitrary measurable subsets of countable unions of such images of Lipschitz functions as long as the total area remains finite. Rectifiable sets have an "approximate" tangent plane at almost every point.


Explore with Wolfram|Alpha

References

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

Referenced on Wolfram|Alpha

Rectifiable Set

Cite this as:

Weisstein, Eric W. "Rectifiable Set." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/RectifiableSet.html

Subject classifications