Examples
- The category -Mod of (left) -modules is finitely accessible for any ring . The objects that are finitely presentable in the above sense are precisely the finitely presented modules (which are not necessarily the same class of objects than finitely generated modules unless is noetherian).
- The category of simplicial sets is finitely-accessible.
- The category Mod(T) of models of some first-order theory T with countable signature is -accessible. -presentable objects are models with a countable number of elements.
Read more about this topic: Accessible Category
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