The space of currents arising from rectifiable sets by integrating a differential form is called the space of two-dimensional 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 
.
Rectifiable Current
See also
Integral Current, Regularity TheoremExplore with Wolfram|Alpha
References
Morgan, F. "What is a Surface?" Amer. Math. Monthly 103, 369-376, 1996.Referenced on Wolfram|Alpha
Rectifiable CurrentCite this as:
Weisstein, Eric W. "Rectifiable Current." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/RectifiableCurrent.html