The "Grothendieck construction" is a simple but wonderful trick for gluing together a bunch of categories and getting a new bigger category. My student @CreeepyJoe (who is not creepy) explains it nicely in his blog:
https://joemathjoe.wordpress.com/2019/07/18/what-is-the-grothendieck-construction-like/ …
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It is an example of a coend.
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One of my fav devs is reading into category theory?! What a day to be alive.
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