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arxiv: 0812.2677 · v1 · submitted 2008-12-14 · 🧮 math.AP · math.DG

Leaf superposition property for integer rectifiable currents

classification 🧮 math.AP math.DG
keywords currentsintegerrectifiablesuperpositionboundaryboundedclasscondition
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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.

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