factor through en · VERB
Meanings
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Said of a morphism: to be equal to a composition of two morphisms, one of which is the given morphism (that is being said to be "factored through").
LEMMA 16.3 An arrow f#58;A#92;rightarrowB is epic iff 1#95;B is the smallest sub-object of B that f factors through.
1995, Colin McLarty, Elementary Categories, Elementary Toposes, page 142:
Forms
| Spelling | Features | Labels | Source |
|---|---|---|---|
| factored through | Tense=Past, VerbForm=Part | lexicographic | |
| factored through | Tense=Past | lexicographic | |
| factors through | Number=Sing, Person=3, Tense=Pres | lexicographic | |
| factoring through | Tense=Pres, VerbForm=Part | lexicographic |