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We prove that there does not exist a uniformly continuous retraction from the space of continuous vector fields onto the subspace of vector fields whose divergence vanishes in the distributional sense. We then generalise this result using the concept of $m$-charges, introduced by De Pauw, Moonens, and Pfeffer: on any subset $X\subseteq {ℝ}^n$ satisfying a mild geometric condition, there is no uniformly continuous representation operator for $m$-charges in $X$.