Given a topological space $X$ and a sheaf of abelian groups $\mathcal{F}$ on $X$, we can construct a new sheaf of abelian groups $I(\mathcal{F})$ defined by $$I(\mathcal{F})(U) := \prod_{x \in U} \mathcal{F}_x,$$ where $U$ is open in $X$ and $\mathcal{F}_x$ is the stalk of $\mathcal{F}$ at $x$. Here the restriction of $I(\mathcal{F})$ is the natural restriction which maps $(s_x)_{x \in U}$ to $(s_x)_{x \in V}$, and I think it should be surjective but I am not confident of myself. What do you guys think?
Any help is appreciated.