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set theory > function space
algebra > linear algebra > function space
category theory > function space

Preferred term

function space  

Definition(s)

  • 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.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Function_space)

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