PomeDefinition 13.10.1.F6CEAE1224B7 We define the closed positive $(p,p)$-current (13.1.1) on $X$ as follows: We proceed by induction on $p\geq 0$. When $p=0$, we define (13.1.1) as the $(0,0)$-current $[X]$. When $p>0$, we let
\[ \mathrm{dd}^{\mathrm{c}}\varphi _1\wedge \cdots \wedge \mathrm{dd}^{\mathrm{c}}\varphi _ p\coloneqq \mathrm{dd}^{\mathrm{c}}\left( \varphi _1\, \mathrm{dd}^{\mathrm{c}}\varphi _2 \wedge \cdots \wedge \mathrm{dd}^{\mathrm{c}}\varphi _ p \right). \]
We call this product the Bedford–Taylor product .
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