An equivalent definition of functions of the first Baire class
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- by Peng-Yee Lee, Wee-Kee Tang and Dongsheng Zhao PDF
- Proc. Amer. Math. Soc. 129 (2001), 2273-2275 Request permission
Abstract:
An equivalent definition of functions of the first Baire class in terms of $\varepsilon -\delta$ is given.References
- Baire, R., Sur les fonctions des variables réeles, Ann. Mat. Pura ed Appl. 3(1899), 1-122.
- K. Kuratowski, Topology. Vol. I, Academic Press, New York-London; Państwowe Wydawnictwo Naukowe [Polish Scientific Publishers], Warsaw, 1966. New edition, revised and augmented; Translated from the French by J. Jaworowski. MR 0217751
- I. P. Natanson, Theory of functions of a real variable. Vol. II, Frederick Ungar Publishing Co., New York, 1961. Translated from the Russian by Leo F. Boron. MR 0148805
Additional Information
- Peng-Yee Lee
- Affiliation: Division of Mathematics, National Institute of Education, Nanyang Technological University, 469, Bukit Timah Road, Singapore 259756
- MR Author ID: 111815
- Email: pylee@nie.edu.sg
- Wee-Kee Tang
- Affiliation: Division of Mathematics, National Institute of Education, Nanyang Technological University, 469, Bukit Timah Road, Singapore 259756
- Email: wktang@nie.edu.sg
- Dongsheng Zhao
- Affiliation: Division of Mathematics, National Institute of Education, Nanyang Technological University, 469, Bukit Timah Road, Singapore 259756
- Email: dszhao@nie.edu.sg
- Received by editor(s): June 2, 1999
- Received by editor(s) in revised form: November 18, 1999
- Published electronically: November 30, 2000
- Additional Notes: We thank A. B. Aruffo, L. Zajiček and the referee for their comments contributing to the current proof and final statement of Theorem 1.
- Communicated by: David Preiss
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 2273-2275
- MSC (2000): Primary 26A21
- DOI: https://doi.org/10.1090/S0002-9939-00-05826-3
- MathSciNet review: 1823909