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On additive functions which are monotone on a „Rare” set

✍ Scribed by R. Freud


Publisher
Akadmiai Kiad
Year
1978
Tongue
English
Weight
249 KB
Volume
31
Category
Article
ISSN
1588-2632

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Continuous functions which take a somewh
✍ Maxim R. Burke 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 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