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May 2020

In mathematics, the codomain or set of destination of a function is the set into which all of the output of the function is constrained to fall. It is
Surjective function
surjective (also known as onto, or a surjection), if for every element y in the codomain Y of f, there is at least one element x in the domain X of f such that
Function (mathematics)
function, to a single element y of another set Y (possibly the same set), the codomain of the function. If the function is called f, this relation is denoted
Domain of a function
defined as a triple (X, Y, G) where X is called the domain of f, Y its codomain, and G its graph. A domain is not part of a function f if f is defined
Bijection, injection and surjection
expressions from the codomain) are related or mapped to each other. A function maps elements from its domain to elements in its codomain. Given a function
Injective function
of its domain to distinct elements of its codomain. In other words, every element of the function's codomain is the image of at most one element of its
Range of a function
specifically in naïve set theory, the range of a function refers to the codomain of the function, though depending upon usage it can sometimes refer to
Operation (mathematics)
domain of the function is a power of the codomain (i.e. the Cartesian product of one or more copies of the codomain), although this is by no means universal
Pointwise convergence
(f_{n})} is a sequence of functions sharing the same domain and codomain. The codomain is most commonly the reals, but in general can be any metric space
Map (mathematics)
such as Serge Lang, use "function" only to refer to maps in which the codomain is a set of numbers (i.e. a subset of R or C), and reserve the term mapping