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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Bibliography

(1) - AARTS (J.M.), NISHIURA (T.) - Dimension and Extensions, - North Holland, 331 pages (1993).
(2) - ADAMS (C.), FRANZOSA (R.) - Introduction to Topology Pure and Applied, - Pearson, 507 pages (2008).
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