Remark 9.9.2.1.2 (01U9): Further Terminology and Notation for Natural Transformations

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Table of Contents
Part 3: Category Theory
Chapter 9: Categories
Section 9.9: Natural Transformations
Subsection 9.9.2: Natural Transformations
Remark 9.9.2.1.2: Further Terminology and Notation for Natural Transformations (cite)

Let $\alpha \colon F\Rightarrow G$ be a natural transformation.

For each $A\in \text{Obj}\webleft (\mathcal{C}\webright )$, the morphism $\alpha _{A}\colon F_{A}\to G_{A}$ is called the component of $\alpha $ at $A$.
We denote natural transformations such as $\alpha $ in diagrams as

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