identity functor

noun

A functor from a category to itself which maps each object of that category to itself and each morphism of that category to itself.

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Meanings

nounidentity functor (plural identity functors)

plural identity functors

  1. category theoryA functor from a category to itself which maps each object of that category to itself and each morphism of that category to itself.
Cite this entry
APA

identity functor. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/identity%20functor

MLA

“identity functor.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/identity%20functor. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “identity functor,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/identity%20functor.

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