Definition of Cocontinuous. Meaning of Cocontinuous. Synonyms of Cocontinuous

Here you will find one or more explanations in English for the word Cocontinuous. Also in the bottom left of the page several parts of wikipedia pages related to the word Cocontinuous and, of course, Cocontinuous synonyms and on the right images related to the word Cocontinuous.

Definition of Cocontinuous

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Meaning of Cocontinuous from wikipedia

- adjoint functor is cocontinuous. Since adjoint functors exist in abundance, this gives numerous examples of continuous and cocontinuous functors. For a given...
- S if and only if v(f) : vZ → vX is in R. This defines a sieve. v is cocontinuous if and only if for every object X of C and every covering sieve R of...
- {\mathcal {C}}} is cocontinuous, then ( S ↓ T ) {\displaystyle (S\downarrow T)} is cocomplete, and the projection functors are cocontinuous. For example, note...
- functor that has a right adjoint (and therefore is a left adjoint) is cocontinuous (i.e. commutes with colimits). Since many common constructions in mathematics...
- locally presentable, F and G are functors from C to D, and either F is cocontinuous or G is continuous; then the inserter category Ins(F, G) is also locally...