  We study the holographic dual of a topological symmetry operator in the
context of the AdS/CFT correspondence. Symmetry operators arise from
topological field theories localized on a subspace of the boundary CFT
spacetime. We use bottom up considerations to construct the topological sector
associated with their bulk counterparts. In particular, by exploiting the
structure of entanglement wedge reconstruction we argue that the bulk
counterpart has a non-topological worldvolume action, i.e., it describes a
dynamical object. As a consequence, we find that there are no global $p$-form
symmetries for $p \geq 0$ in asymptotically AdS spacetimes, which includes the
case of non-invertible symmetries. Provided one has a suitable notion of
subregion-subregion duality, our argument for the absence of bulk global
symmetries applies to more general spacetimes. These considerations also
motivate us to consider for general QFTs (holographic or not) the notion of
lower-form symmetries, namely, $(-m)$-form symmetries for $m \geq 2$.
