Definition:Section (Category Theory)

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Definition

Let $\mathbf C$ be a metacategory.

Let $f: C \to D$ be a morphism of $\mathbf C$.


A section of $f$ is a morphism $g: D \to C$ such that:

$f \circ g = \operatorname{id}_D$


Also known as

Some authors refer to this as a coretraction.


Also see


Sources