On the Baire classification of discontinuity points of real functions of one variable
✍ Scribed by М. А. лУНИНА
- Book ID
- 112733907
- Publisher
- Springer
- Year
- 1977
- Tongue
- English
- Weight
- 608 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0133-3852
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📜 SIMILAR VOLUMES
Let X be a bounded subset of the real line and let Y be a metric space. In the function space C(X, Y ), we give an intrinsic characterization of the functions f for which the neighborhood system in the Hausdorff topology coincides with the neighborhood system in the uniform convergence topology.
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