Baire's classification of pointwise discontinuous functions
1 Department of Mathematical Analysis, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
2 Jan Kokhanowski University, Kielce, 25-001, Poland
Keywords:
Baire's classification
Abstract
The Baire's theorem on first class functions is generalized with the help of partitions of unity.
References
[1] Baire R. Sur les fonctions de variebles reéles // Analli di Mat. pura ed appl., ser 3. – 1899. – 3. – P.1-123.
[2] Bourbaki N. General Topology. Use of Real Numbers in General Topology. – M.: Nauka, 1975. – 408 p.
[3] Engelking R. General Topology. – M.: Mir, 1986. – 751 p.
Cite
- ACS Style
- Mykhaylyuk, V. Baire's classification of pointwise discontinuous functions. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Mykhaylyuk V. Baire's classification of pointwise discontinuous functions. Bukovinian Mathematical Journal. 2018; 1(76).
- Chicago/Turabian Style
- Volodymyr Mykhaylyuk. 2018. "Baire's classification of pointwise discontinuous functions". Bukovinian Mathematical Journal. 1 no. 76.
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