WitrynaWithout this condition may not be locally small even though is. Comment #4417 by Johan on August 31, 2024 at 13:41 . In the stacks project all categories have sets of … Witryna28 paź 2016 · $\begingroup$ In my experience the category of all functors $\mathsf{Ab} \to \mathsf{Ab}$ is not really useful and not well-behaved. This is because many results in category theory, when applied to specific examples, require locally small categories. Instead, we should look at subcategories of functors $\mathsf{Ab} \to \mathsf{Ab}$ …

How should one call and use categories that are not locally small?

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