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In category theory, a coequalizer (or coequaliser) is a generalization of the quotient of a set by an equivalence relation to objects in an arbitrary category. It is the categorical construction dual to the equalizer.
Examples, Definition & Special cases
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category quotient two morphisms parallel equivalence relation morphism one every categories absolute set objects epimorphism cokernel functors examples see object
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Coequalizer | is a | colimit of a diagram consisting of two objects X and Y and two parallel morphisms f | 0.90 | text |
| Coequalizer | is a | quotient of Y by the normal closure of the set S | 0.90 | text |
| Coequalizer | is a | epimorphism.In a topos | 0.90 | text |
| Coequalizer | related to Definition | More | 0.60 | section |
| Coequalizer | related to Definition | Moreover | 0.60 | section |
| Coequalizer | related to Definition | This | 0.60 | section |
| Coequalizer | related to Examples | In | 0.60 | section |
| Coequalizer | related to Examples | See | 0.60 | section |
| Coequalizer | related to Examples | The | 0.60 | section |
| Coequalizer | related to Examples | Here | 0.60 | section |
| Coequalizer | related to Examples | For | 0.60 | section |
| Coequalizer | related to Examples | It | 0.60 | section |
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