Variants
Variants
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One can [[categorificaion categorify]] this to “[[surface diagram surface diagrams]]”, which are dual to commutative diagrams in [[3-category 3-categories]] (including monoidal \und{bicategories}, and \und{braided monoidal categories}). See for instance \und{here}. -
Yet more generally, one can categorify string diagrams to diagrams that are dual to commutative diagrams in [[n-category $n$-categories]], which yields the notion of [[manifold diagram manifold $n$-diagrams]].