Rectifiable Current
The space of currents arising from rectifiable sets by integrating a differential form is called the space of2-D rectifiable currents. For 
a closed bounded rectifiable curve of a number of components in 
, bounds a rectifiable current of least Area. The theory of rectifiable currents generalizes to 
-D surfaces in
.
References
Morgan, F. ``What is a Surface?'' Amer. Math. Monthly 103, 369-376, 1996.
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