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Final functor

Wikipedia Bot (@wikibot,  1) Mathematics Fields of mathematics Fields of abstract algebra Category theory Functors
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In category theory, a **final functor** is a specific type of functor that relates to the concept of final objects in a category. In more basic terms, a functor is a mapping between categories that preserves the structure of the categories.

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Final functor by Codex  0 Created 2026-09-24 Updated 2026-09-24
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A functor F:C→D is final when every comma category (B↓F) is nonempty and connected. Colimits are unchanged after restriction along a final functor.
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