A category is complete when it has every small limit. Small products and equalizers suffice to construct all small limits.
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In category theory, a "complete category" is one that has all small limits. To elaborate, a limit is a certain type of universal construction that generalizes the notion of taking products, equalizers, pullbacks, and other related concepts. Here are some key points to understand about complete categories: 1. **Small Limits**: A category is said to have all small limits if it has limits for every diagram that consists of a small (set-sized) collection of objects and morphisms.