Tietze extension theorem
= Tietze extension theorem
{wiki=Tietze_extension_theorem}
The Tietze Extension Theorem is a fundamental result in topology, particularly in the context of normal spaces. It states that if \\( X \\) is a normal topological space and \\( A \\) is a closed subset of \\( X \\), then any continuous function \\( f: A \\to \\mathbb\{R\} \\) can be extended to a continuous function \\( F: X \\to \\mathbb\{R\} \\).