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I'm searching for some nice applications of Tietze extension theorem, in any area of mathematics. Can you name some (and possibly give references) to me?

Thank you in advance!

  • 3
    Not really an application, but a nice sharpening is [Whitney's extension theorem](http://en.wikipedia.org/wiki/Whitney_extension_theorem) which I found quite surprising when I saw it for the first time. The [original article](http://dx.doi.org/10.2307%2F1989708) is very nice and definitely worth having a look at.2011-05-28
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    The Tietze Extension theorem can be used to show that the adjunction of two normal spaces is normal assuming of course that you glue on a closed subset of the spaces.2011-05-29

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