full functor

noun

A functor which maps morphisms from its source to its target category in such a way that the restriction of that mapping to any source hom-set is surjective into the corresponding target hom-set.

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Meanings

nounfull functor (plural full functors)

plural full functors

  1. category theoryA functor which maps morphisms from its source to its target category in such a way that the restriction of that mapping to any source hom-set is surjective into the corresponding target hom-set.
Cite this entry
APA

full functor. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/full%20functor

MLA

“full functor.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/full%20functor. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “full functor,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/full%20functor.

Source: full functor on Wiktionary, CC BY-SA 4.0.