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endofunctor
endofunctor
Noun
pl: endofunctors
This term is a highly specialized technical expression used exclusively within the domain of category theory in mathematics. It describes a specific mapping where the domain and codomain categories are identical, creating a self-referential structural transformation.
Because it is a formal mathematical object, the word is used in a precise, clinical register. It lacks emotional connotation or metaphorical application outside of theoretical computer science and abstract algebra.
Meanings
Related Words
categoryfunctormorphismobjectmappingtransformationmonadnatural transformationidentitycompositionalgebracategory theoryisomorphismendomorphismautomorphismcovariantcontravariantbifunctormonoidfixed pointrecursioninductionlambda calculustype theoryarrowdomaincodomainmapliftpurebindadjunctionequivalencelimitcolimitproductcoproductcartesian producttopossheafpresheafcurryingabstractionapplication