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>> No.11951767 [View]
File: 8 KB, 475x309, category_product.png [View same] [iqdb] [saucenao] [google]
11951767

For any category [math]C[/math] there are two "projection" functors from its arrow category [math]s,t:C^I \to C[/math] whose behavior on objects is to send each C-arrow to its source and target, respectively.
My question is: can [math]s,t[/math] be characterized universally without reference to the definition of [math]C^I[/math], similarly to the characterization of the product as in pic related?

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