Compact convergence
= Compact convergence
{wiki=Compact_convergence}
Compact convergence is a concept in the field of functional analysis and topology that describes a type of convergence of a sequence of functions. More precisely, it is a form of convergence that refers to the behavior of functions defined on compact spaces. Let \\(X\\) be a compact topological space, and let \\( \\\{ f_n \\\} \\) be a sequence of continuous functions from \\(X\\) to \\(\\mathbb\{R\}\\) (or \\(\\mathbb\{C\}\\)).