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Definition

In any category, a cospan is a diagram like this:

A cospan that admits a cone is called a quadrable cospan.

A cospan in the category $C$ is the same as a span in the opposite category $C^{\mathrm{op}}$. So, all general facts about cospans in $C$ are general facts about spans in $C^{\mathrm{op}}$, and the reader may turn to the entry on spans to learn more.

See also

• Cospans in Algebraic Topology
• multispan
• the cograph of a function
• the cograph of a functor