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The Dirichlet problem for Baire-one functions

✍ Scribed by Jiří Spurný

Book ID
111487818
Publisher
SP Versita
Year
2004
Tongue
English
Weight
485 KB
Volume
2
Category
Article
ISSN
1895-1074

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Darboux-like functions within the classe
Darboux-like functions within the classes of Baire one, Baire two, and additive functions
✍ 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