%0 Journal Article %T Leaf superposition property for integer rectifiable currents %A Luigi Ambrosio %A Gianluca Crippa %A Philippe G. LeFloch %J Mathematics %D 2008 %I arXiv %X We consider the class of integer rectifiable currents without boundary satisfying a positivity condition. We establish that these currents can be written as a linear superposition of graphs of finitely many functions with bounded variation. %U http://arxiv.org/abs/0812.2677v1