Definition 21.12.43.0B726BDBFF06 We define
\[ \begin{aligned} \mathcal{E}^{\infty }_{\mathrm{tor}}(X,\omega )= & \mathcal{E}^{\infty }(X,\omega ) \cap \mathrm{PSH}_{\mathrm{tor}}(X,\omega ),\\ \mathcal{E}^{1}_{\mathrm{tor}}(X,\omega )= & \mathcal{E}^{1}(X,\omega ) \cap \mathrm{PSH}_{\mathrm{tor}}(X,\omega ),\\ \mathcal{E}_{\mathrm{tor}}(X,\omega )= & \mathcal{E}(X,\omega ) \cap \mathrm{PSH}_{\mathrm{tor}}(X,\omega ). \end{aligned} \]
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