2 problems

Let $k\in\mathbb{N}$, let $\mathrm{X}$ be a metric space, and let $\mathbf{M}_k(\mathrm{X})$ denote the space of metric $k$-currents on $\mathrm{X}$. Normal $k$-currents are metric…

Lang's general Flat Chain Conjecture. For every $d\in\mathbb{N}$ and $k\in\mathbb{N}\cup\{0\}$, if $T\in\mathcal{D}_k(\boldsymbol{R}^d)$ has compact support, then