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A set of continuous orthogonal functions

โœ Scribed by Philip Franklin


Publisher
Springer
Year
1928
Tongue
English
Weight
479 KB
Volume
100
Category
Article
ISSN
0025-5831

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Continuous functions which take a somewh
โœ Maxim R. Burke ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 161 KB

We study the class of Tychonoff spaces that can be mapped continuously into R in such a way that the preimage of every nowhere dense set is nowhere dense. We show that every metric space without isolated points is in this class. We also give examples of spaces which have nowhere constant continuous