Limit-preserving functors are special types of functors between categories that maintain the existence and structure of limits. In simpler terms, if you have a limit in one category, applying a limit-preserving functor will yield a corresponding limit in the target category, preserving all relevant properties. This characteristic connects deeply with completeness and cocompleteness, as it highlights how certain functors interact with these concepts by reflecting the structure of limits across different categorical contexts.
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