On the Baire class of $\mathcal {I}$-approximate derivatives
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- by Ewa Łazarow PDF
- Proc. Amer. Math. Soc. 100 (1987), 669-674 Request permission
Abstract:
Basic properties of an $\mathcal {I}$-approximate derivative which is a category analogue of the approximate derivative were considered in [3]. Using the notion of balanced selection and the result of O’Malley, we shall prove that the $\mathcal {I}$-approximate derivative is of Baire class one.References
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R. J. O’Malley, Selective derivatives, Acta Math. Hungar. 29 (1977).
- Richard J. O’Malley, Balanced selections, Real Anal. Exchange 8 (1982/83), no. 2, 504–508. MR 700201, DOI 10.2307/44153423 E. Łazarow and W. Wilczyński, $\mathcal {I}$-approximate derivatives (to appear).
- W. Poreda, E. Wagner-Bojakowska, and W. Wilczyński, A category analogue of the density topology, Fund. Math. 125 (1985), no. 2, 167–173. MR 813753, DOI 10.4064/fm-125-2-167-173
Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 100 (1987), 669-674
- MSC: Primary 26A24; Secondary 26A21
- DOI: https://doi.org/10.1090/S0002-9939-1987-0894436-6
- MathSciNet review: 894436