| Function |
|---|
| x ↦ f (x) |
| History of the function concept |
| Types by domain and codomain |
| Classes/properties |
| Constructions |
| Generalizations |
| List of specific functions |
In mathematics, a function space is a set of functions between two fixed sets. Often, the domain and/or codomain will have additional structure which is inherited by the function space. For example, the set of functions from any set X into a vector space has a natural vector space structure given by pointwise addition and scalar multiplication. In other scenarios, the function space might inherit a topological or metric structure, hence the name function space.