limit-maintaining functor
nounUK /ˈlɪmɪt meɪnˈteɪnɪŋ ˈfʌŋktə/
US /ˈlɪmɪt meɪnˈteɪnɪŋ ˈfʌŋktər/
A special rule in math that keeps the limits of shapes the same when it changes them.
The teacher showed that the limit-maintaining functor keeps every limit exactly where it was.
RELATED WORDS
OTHER MEANINGS
2. A functor that sends every small limit in its domain to a limit in its codomain.
In the category of sets, this functor is limit-maintaining because it preserves all small limits.
3. A structure-preserving map between categories that commutes with limiting cones.
The forgetful functor from groups to sets is limit-maintaining.
4. A functor whose action on diagrams keeps limiting cones intact.
We proved the functor is limit-maintaining by checking it on every limiting cone.