Baire functions and spaces of Baire functions
β Scribed by E. G. Pytkeev
- Publisher
- Springer US
- Year
- 2006
- Tongue
- English
- Weight
- 329 KB
- Volume
- 136
- Category
- Article
- ISSN
- 1573-8795
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π SIMILAR VOLUMES
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 β R, answering a question of Gibs
We extend the results of Gul'ko and Sokolov proving that a filter F on w, regarded as a subspace of the Cantor set 2", is a hereditary Baire space if and only if F is a nomneager (i.e., second category) P-filter. We also prove related results on hereditary Baire spaces of continuous functions C,(X).