Proposition 1.1 . [0281]

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Proposition 1.1.

Let $V$ be a complex submanifold of ${\mathbb{C}}^{N}$ and $u$ be a continuous psh exhaustion function on $V$ . Then there exists a continuous psh exhaustion function $\widetilde{u}$ on ${\mathbb{C}}^{N}$ so that $\widetilde{u}\,|_{{}_{V}}=u$ .