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On Darboux functions in honorary Baire class two

✍ Scribed by I. Pokorný


Publisher
Akadmiai Kiad
Year
1991
Tongue
English
Weight
385 KB
Volume
58
Category
Article
ISSN
1588-2632

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Darboux-like functions within the classe
✍ Krzysztof Ciesielski; Jan Jastrzȩbski 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 168 KB

In the paper we present an exhaustive discussion of the relations between Darboux-like functions within the classes of Baire one, Baire two, Borel, and additive functions from R n into R. In particular we construct an additive extendable discontinuous function f : R → R, answering a question of Gibs