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Continuous functions taking every value a given number of times

โœ Scribed by A. Kwiatkowska

Book ID
106343619
Publisher
Akadmiai Kiad
Year
2008
Tongue
English
Weight
919 KB
Volume
121
Category
Article
ISSN
1588-2632

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๐Ÿ“œ SIMILAR VOLUMES

Continuous functions which take a somewh
Continuous functions which take a somewhere dense set of values on every open set
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