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The '''Tietze Extension Theorem''' states:
The '''Tietze Extension Theorem''' states:
<blockquote>
<blockquote>
If ''A'' is a closed subspace in a normal ''X'' and ''f : A → [p, q]'' is a [[continuous function]], then there exists a continuous function ''F : X → [p, q]'' such that ''F|<sub>A</sub> = f''.
If ''A'' is a closed subspace in a [[normal space]] ''X'' and ''f : A → [p, q]'' is a [[continuous function]], then there exists a continuous function ''F : X → [p, q]'' such that ''F|<sub>A</sub> = f''.
</blockquote>
</blockquote>
[[category:topology]]
[[category:topology]]