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Epimorphism
Collection
| context | ${\bf C}$ … category |
| definiendum | $f \in\mathrm{it} $ |
| inclusion | $f:{\bf C}[A,B]$ |
| postulate | $\langle B,\prod_{B}1_A\rangle$ … pushout of $f$ along itself |
Discussion
See Monomorphism.
In ${\bf{Set}}$ the epimorphisms are the surjections. But people like to point out that in general, epis (as opposed to monos) are quite different from surjections and also more difficult to classify.
Reference
Requirements
todo
Related
