Definition of Cocomplete. Meaning of Cocomplete. Synonyms of Cocomplete

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

Definition of Cocomplete

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Meaning of Cocomplete from wikipedia

- Dually, a cocomplete category is one in which all small colimits exist. A bicomplete category is a category which is both complete and cocomplete. The existence...
- a small posetal finitely cocomplete cartesian closed category, and a Boolean algebra as a small posetal finitely cocomplete *-autonomous category. Conversely...
- tensor algebra is a free algebra, the corresponding coalgebra is termed cocomplete co-free. With the usual product this is not a bialgebra. It can be turned...
- category C where every diagram from a small category to C has a limit; it is cocomplete if every such functor has a colimit Completeness (order theory), a notion...
- a cosmos is a symmetric closed monoidal category that is complete and cocomplete. Enriched category theory is often considered over a cosmos. cosmos at...
- subobjects are classified. Quasitoposes are also required to be finitely cocomplete and locally cartesian closed. A solid quasitopos is one for which 0 is...
- properties of D {\displaystyle D} : if D {\displaystyle D} is complete (or cocomplete), then so is D C {\displaystyle D^{C}} ; if D {\displaystyle D} is an...
- that there is a natural equivalence between geometric morphisms from a cocomplete topos E to T and the category of models for the structure in E. The classifying...
- F:\mathbf {A} \to \mathbf {B} } are two functors. If A is small and C is cocomplete, then there exists a left Kan extension Lan F ⁡ X {\displaystyle \operatorname...
- and unique lifting of limits). The category Top is both complete and cocomplete, which means that all small limits and colimits exist in Top. In fact...