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Functoriality
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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.
Title: Functoriality
Description:
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.
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