covariant functor


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Related to covariant functor: Contravariant functor, Functors, Bifunctor

covariant functor

[kō′ver·ē·ənt ′fəŋk·tər]
(mathematics)
A functor which does not change the sense of morphisms.
References in periodicals archive ?
i A "cylinder" covariant functor I : A [right arrow] A.
Let Y : [DELTA] [right arrow] A be a covariant functor.
Z]) is a covariant functor and that is left adjoint of [S.
It is known that a covariant functor Y: [delta] [right arrow] A, where [delta] and A are any categories, induces a covariant functor [S.
It is easy to see that RC : [DELTA]A [right arrow] [DELTA]A is a covariant functor and that d : 1 [right arrow] RC given for [[d(y)].