The paper expands discussion of the open k=n case in slicing (k+1)-currents in the Heisenberg group but does not resolve it.
Calculus of Variations and Partial Differential Equations , volume =
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A note on the Slicing of $(k+1)$-Currents in the Heisenberg Group $\mathbb{H}^n$ in the case $k=n$
The paper expands discussion of the open k=n case in slicing (k+1)-currents in the Heisenberg group but does not resolve it.