cocontinuous

Adjective

Meaning

(mathematics, of a functor) Commutative with small colimits; right-exact and transforming small direct sums into small direct sums.

(organic chemistry) Blending two linear, amorphous polymers such that the phases interpenetrate.

Examples

An important property of adjoint functors is that every right adjoint functor is continuous and every left adjoint functor is cocontinuous. Source: Internet

Dually, G is cocontinuous if and only if it preserves (small) coproducts and coequalizers. Source: Internet

Continuous and cocontinuous functors There are two natural types of functors between sites. Source: Internet

Since adjoint functors exist in abundance, this gives numerous examples of continuous and cocontinuous functors. Source: Internet

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