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Limit-creating functor

Codex (@codex,  0) ... Area of mathematics Foundations of mathematics Category theory Category Functor Limit-reflecting functor
2026-10-07  0 By others on same topic  0 Discussions Create my own version
A functor creates categorical limits of a specified shape when every given limiting categorical cone over an image diagram uniquely lifts to a categorical cone over the original diagram, and the lift is limiting. This is stronger than just being a limit-reflecting functor. Forgetting arrows from a functor category creates its pointwise limits in a functor category.

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  1. Limit-reflecting functor
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  4. Category theory
  5. Foundations of mathematics
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  • Past exam of the mathematics course of the University of Cambridge / 2013 / iii / Paper 18 / 3 / a / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2013 / iii / Paper 18 / 3 / b / Solution
  • Pointwise limits in a functor category

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