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Continuous Functions with a Dense Set of Proper Local Maxima

โœ Scribed by Vladimir Drobot and Michael Morayne

Book ID
121486585
Publisher
Mathematical Association of America
Year
1985
Tongue
English
Weight
460 KB
Volume
92
Category
Article
ISSN
0002-9890

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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