functor

functor englanniksi

1. A word.

2. A object.

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. Category:en:Functions

(hyper)

(hypo)

5. 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 \mathcal{F}\in\mathcal{JF} the functors

: \overline{F} : \overrightarrow{X} \rightarrow \overline{F(\overrightarrow{X})}, F^0 : \overrightarrow{X}\rightarrow F(\overrightarrow{X})^0, F^c : \overrightarrow{X} \rightarrow F(\overrightarrow{X})^c.

6. {{quote-book|en|year=2004|author=William G. Dwyer; Philip S. Hirschhorn; Daniel M. Kan; Jeffrey H. Smith|title=Homotopy Limit Functors on Model Categories and Homotopical Categories|publisher=American Mathematical Society|pageurl=https://books.google.com.au/books?id=km7zBwAAQBAJ&pg=PA165&dq=%22functor%22%7C%22functors%22&hl=en&sa=X&ved=0ahUKEwiB98r72dLaAhUIAXwKHaZHCd8Q6AEIhAEwEAv=onepage&q=%22functor%22%7C%22functors%22&f=false|page=165

7. 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 \Sigma_*-objects and we review the relationship between \Sigma_*-objects and functors. In short, a \Sigma_*-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\rightarrow S(M,X), defined by a formula of the form

: S(M,X) = \bigoplus^\infty_{r=0} \left ( M(r)\otimes X^{\otimes r}\right )_{\Sigma_r}.

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

9. (l) (gloss)

10. (l)