Tietze extension theorem

Pavel Urysohn

In topology, the Tietze extension theorem (also known as the Tietze–UrysohnBrouwer extension theorem or Urysohn-Brouwer lemma[1]) states that any real-valued, continuous function on a closed subset of a normal topological space can be extended to the entire space, preserving boundedness if necessary.

  1. ^ "Urysohn-Brouwer lemma", Encyclopedia of Mathematics, EMS Press, 2001 [1994]

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