10. Applications between metric spaces II
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
separated T
4
and having values in
can be extended to a continuous function
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Applications between metric spaces II
Bibliography
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(1) - AARTS (J.M.), NISHIURA (T.) -
Dimension and Extensions,
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North Holland, 331 pages (1993).
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(2) - ADAMS (C.), FRANZOSA (R.) -
Introduction to Topology Pure and Applied,
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Pearson, 507 pages (2008)....
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