covariant

English

Etymology

co- +‎ variant

Adjective

covariant (not comparable)

1. (category theory, of a functor) Which preservess the order of morphism composition: formally, which associates each morphism $f:X\to Y$ to a morphism $F(f):F(X)\to F(Y)$.

   Antonym: contravariant

2. (object-oriented programming) Using or relating to covariance.

Derived terms

• bicovariant
• covariantisation
• covariantization
• covariantize
• covariantly
• Frobenius covariant
• noncovariant
• supercovariant

 

Translations

which preserves composition

• Finnish: kovariantti
• French: covariant (fr)
• German: kovariant
• Portuguese: covariante

relating to covariance

• Finnish: kovariantti
• French: covariant (fr)
• German: kovariant

Noun

covariant (plural covariants)

1. (algebra) A bihomogeneous polynomial in x, y, ... and the coefficients of some homogeneous form in x, y, ... that is invariant under some group of linear transformations.
2. (algebra) The variety defined by a covariant.

Translations

bihomogeneous polynomial...

variety defined by a covariant