In mathematics, commutative diagrams are used in several fields such as algebraic topology,
homological algebra, category theory, etc. In simple words, a commutative diagram is a
pictorial way of writing an equation. An equation has two sides, the left and right. Similarly, a
commutative diagram has paths. Formally, a commutative diagram is a collection of objects and
arrows. The objects could be sets and the arrows could be maps. We say that a diagram
commutes if going from one object to another along different paths gives the same result.
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