Metric Spaces I. Basic Notions : Applications between metric spaces II

Applications between metric spaces II
Metric Spaces I. Basic Notions

Author : Jean-Charles PINOLI

Publication date: July 10, 2018 | Lire en français

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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 T₄ and having values in $ℝ$ can be extended to a continuous function ${\ddot{f}}_{T}$ ...

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Applications between metric spaces II

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Property preservation and invariance

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).
(3)...

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Applications between metric spaces II Metric Spaces I. Basic Notions

10. Applications between metric spaces II

10.1 Application extension

Bibliography

Applications between metric spaces II
Metric Spaces I. Basic Notions