Talk:Tietze extension theorem

Mathematics Stub‑class Mid‑priority

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The usual statement of the theorem assumes a bounded codomain, and yields an extension with the same codomain. The (possibly) unbounded version is also correct, but the bounded formulation makes explicit something useful that isn't stated in the unbounded version, namely that the extended function can be chosen to have the same bounds. This page would be more useful if this fact were added. (I will not do so, however, at least anytime soon.) 128.255.45.80 (talk) 03:47, 27 December 2009 (UTC)[reply]

Usefulness?

How useful is this theorem to other branches of mathematics, or within functional analysis. This can be theoretical or practical. Cheers. 92.129.155.3 (talk) 18:17, 4 April 2010 (UTC)[reply]