faithful 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 injective into the corresponding target hom-set.

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Meanings

nounfaithful functor (plural faithful functors)

plural faithful 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 injective into the corresponding target hom-set.
Cite this entry
APA

faithful functor. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/faithful%20functor

MLA

“faithful functor.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/faithful%20functor. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “faithful functor,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/faithful%20functor.

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