A $k$-current on $Q$ is a linear functional $T:\Omega^{m-k}_{0}(Q)\to\mathbb{R}$ which is continuous in the sense of distributions, i.e. suppose $\chi_{j}\in\Omega_{0}^{m-k}(Q)$ is a sequence of differential forms with all derivatives uniformly converging to $0$ as $j\to\infty$, then $\lim\limits_{j\to\infty}(T,\chi_{j})=0$.