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Compactness Theorem

Inside a ball B in R^3,

{rectifiable currents S in BL area S<=c, length partialS<=c}

is compact under the flat norm.

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References

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

Referenced on Wolfram|Alpha

Compactness Theorem

Cite this as:

Weisstein, Eric W. "Compactness Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CompactnessTheorem.html

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