epimorphism

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English[edit]

Etymology[edit]

epi- +‎ morphism

Noun[edit]

epimorphism (plural epimorphisms)

  1. (category theory) A morphism p such that for any other pair of morphisms f and g, if f \circ p = g \circ p, then f = g.
    In most everyday categories, a map is an epimorphism iff it's surjective.

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