Timeline for Flat norm metrizes the weak* topology
Current License: CC BY-SA 4.0
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| Dec 30, 2018 at 18:52 | comment | added | golden-rabbit | I agree that the weak* topology of currents should not be metrizable, but the statement in the text is about "normal currents". These are currents with finite mass and also finite mass of the boundary. Normal currents can be represented as finite Radon measures with values in $\Lambda_k R^n$ and hence are dual to the separable normed space of continuous differential forms (with sup-norm topology), and hence the weak* topology on a bounded set of normal currents should be metrizable. But I don't know how to prove it for the specific metric at hand. | |
| Dec 30, 2018 at 18:38 | history | answered | Parschallen | CC BY-SA 4.0 |