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Article | REF: AF120 V1

Metric Spaces I. Basic Notions

Author: Jean-Charles PINOLI

Publication date: July 10, 2018

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10.  Applications between metric spaces II

10.1  Application extension

Tietze extension theorem (Lebesgue (1907), Brouwer (1912), Tietze (1915), Urysohn (1925)). A continuous function f defined on a closed subset X of a topological space (E, T) separated T 4 and having values in ℝ can be extended to a continuous function

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