Editing Function space (section)

{{Short description|Set of functions between two fixed sets}}
{{Functions}}
In [[mathematics]], a '''function space''' is a [[Set (mathematics)|set]] of [[function (mathematics)|function]]s between two fixed sets. Often, the [[Domain of a function|domain]] and/or [[codomain]] will have additional [[Mathematical structure|structure]] which is inherited by the function space. For example, the set of functions from any set {{var|X}} into a [[vector space]] has a [[List of mathematical jargon#natural|natural]] vector space structure given by [[pointwise]] addition and scalar multiplication. In other scenarios, the function space might inherit a [[Topological space|topological]] or [[Metric space|metric]] structure, hence the name function ''space''.