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  "body": "\n## Summary\n\nA complete category is a [[category|A2DE66937D]] in which every small diagram has a [[limit|CHS5AFJGWE]].\nProducts, equalizers, pullbacks and inverse limits then all exist.\nThe categories of sets, groups, rings, modules and topological spaces are complete.\nCompleteness is a main hypothesis of the adjoint functor theorems.\n\n## Explanations\n\n### L1 human\n\nA limit is a best way to combine a family of objects and maps into one object, like a product or a set of solutions of equations.\nA category is complete when you can always do this, as long as the family is indexed by a set.\nThe category of sets is complete: the limit is a set of compatible families of elements.\nThe category of finite sets is not complete, because an infinite product of two-element sets is infinite.\n",
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