It is obtained that the Baire theorem on functions of the first class for functions with values in strongly $σ$-metrizable spaces is valid and for function with values in $σ$-metrizable spaces is not. The example of everywhere discontinuous mapping of the first Baire class with values in Nemytskij plane is given.
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- ACS Style
- Karlova, O.; Kutsak , S.M.; Maslyuchenko, V.K. Generalization of Baire theorem on functions of the first class to the case of a non-metrizable value space. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Karlova O, Kutsak SM, Maslyuchenko VK. Generalization of Baire theorem on functions of the first class to the case of a non-metrizable value space. Bukovinian Mathematical Journal. 2018; 1(228).
- Chicago/Turabian Style
- Olena Karlova, S. M. Kutsak , Volodymyr Kyrylovych Maslyuchenko. 2018. "Generalization of Baire theorem on functions of the first class to the case of a non-metrizable value space". Bukovinian Mathematical Journal. 1 no. 228.