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On the uniform continuity of Tietze extensions

✍ Scribed by Mark Mandelkern


Book ID
112496968
Publisher
Springer
Year
1990
Tongue
English
Weight
81 KB
Volume
55
Category
Article
ISSN
0003-889X

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Extensions of functions which preserve t
✍ Camillo Costantini; Alberto Marcone πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 222 KB

We say that a pair of topological spaces (X, Y ) is good if for every A βŠ† X and every continuous f : A β†’ Y there exists f : X β†’ Y which extends f and is continuous at every point of A. We use this notion to characterize several classes of topological spaces, as hereditarily normal spaces, hereditari