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rakhim.org | ||
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bartoszmilewski.com
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| | | | | This is part 12 of Categories for Programmers. Previously: Declarative Programming. See the Table of Contents. It seems like in category theory everything is related to everything and everything can be viewed from many angles. Take for instance the universal construction of the product. Now that we know more about functors and natural transformations, can... | |
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math.andrej.com
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www.jeremykun.com
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| | | | | Last time we worked through some basic examples of universal properties, specifically singling out quotients, products, and coproducts. There are many many more universal properties that we will mention as we encounter them, but there is one crucial topic in category theory that we have only hinted at: functoriality. As we've repeatedly stressed, the meat of category theory is in the morphisms. One natural question one might ask is, what notion of morphism is there between categories themselves? | |
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nikhilism.com
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