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Properties of a pair of functions which generate a dense subsemigroup of S(X)

โœ Scribed by K. D. Magill


Book ID
110561042
Publisher
Springer
Year
1996
Tongue
English
Weight
192 KB
Volume
52
Category
Article
ISSN
0037-1912

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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