functor

n. 起功能作用的东西, 函子, 功能词

发音

US
UK /ˈfʌŋktə/

词形变化

functors 复数 functors

释义与例句

n.
  1. 1.

    A function word.

    语言学
  2. 2.

    A function object.

    计算机
  3. 3.

    A category homomorphism; a morphism from a source category to a target category which maps objects to objects and arrows to arrows (either covariantly or contravariantly), in such a way as to preserve morphism composition and identities.

    计算机 工程 数学

    In the category of categories #92;mathbf#123;Cat#125; the objects are categories and the morphisms are functors.

    1991, Natalie Wadhwa (translator), Yu. A. Brudnyǐ, N. Ya. Krugljak, Interpolation Functors and Interpolation Spaces, Volume I, Elsevier (North-Holland), page 143, Choosing for U the operation of closure, regularization or relative completion, we obtain from a given functor ℱ∈𝒥ℱ the functors ◌̅F: overrightarrow X→◌̅F( overrightarrow X),F⁰: overrightarrow X→F( overrightarrow X)⁰,Fᶜ: overrightarrow X→F( overrightarrow X)ᶜ.

    2009, Benoit Fresse, Modules Over Operads and Functors, Springer, Lecture Notes in Mathematics: 1967, page 35, In this chapter, we recall the definition of the category of Σ_*-objects and we review the relationship between Σ_*-objects and functors. In short, a Σ_*-object (in English words, a symmetric sequence of objects, or simply a symmetric object) is the coefficient sequence of a generalized symmetric functor S(M):X→S(M,X), defined by a formula of the form S(M,X)=⨁ ᪲ᵣ₌₀(M(r)⊗X)_(Σᵣ).

  4. 4.

    A structure allowing a function to apply within a generic type, in a way that is conceptually similar to a functor in category theory.

相关短语

functor category functor categories representable functor contravariant functor forgetful functor identity functor adjoint functor faithful functor full functor group functor Yoneda functor underlying functor

词源

From function, modeled after factor.

来源：wiktionary