We construct, for a locally compact metric space X, a space of polylipschitz forms \({\overline{\Gamma }}^*_c(X)\), which is a pre-dual for the space of metric currents \({\mathscr {D}}_*(X)\) of Ambrosio and Kirchheim. These polylipschitz forms may be seen as an analog of differential forms in the metric setting.

中文翻译：

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公制电流和多态性形式

对于局部紧凑的度量空间X，我们构造了一个polylipschitz形式的空间\（{\ overline {\ Gamma}} ^ * _ c（X）\），该空间是度量电流\（{ \ mathscr {D}} _ *（X）\）。这些多形式的形式可以看作是度量设置中差异形式的类似形式。