👉 In mathematics, a coend is an extension of a category that allows for multiple objects to be indexed by categories. It's like having multiple "categories" in one place, instead of having separate "objects". This concept was introduced by David A. Dwyer and Michael J. Greenhagen in their 1985 paper "On the coend of a category." They defined this as follows: A coend is an object in the category $\mathbf{Co}
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