Functor (original) (raw)
TOPICS
Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology
Alphabetical Index New in MathWorld
A function between categories which maps objects to objects and morphisms to morphisms. Functors exist in both covariant and contravariant types.
See also
Category, Contravariant Functor, Covariant Functor, Eilenberg-Steenrod Axioms, Forgetful Functor, Morphism,Schur Functor, Tensor Product Functor
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Cite this as:
Weisstein, Eric W. "Functor." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Functor.html