On some property of functions defined on $\mathbf {R}^2$ that are $\mathcal {I}$-approximately continuous with respect to one variable
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- by R. Carrese and E. Łazarow PDF
- Proc. Amer. Math. Soc. 116 (1992), 377-380 Request permission
Abstract:
Balcerzak, Lazarow, and Wilczyński proved that every separately $\mathcal {I}$-approximately continuous function is Baire 2. In this paper we shall prove that if $f$ is a function $\mathcal {I}$-approximately continuous with respect to one of its variables and of the $\alpha$-class of Baire with respect to the other one, then $f$ is of the $(\alpha + 1)$-class of Baire in ${R^2}$.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 116 (1992), 377-380
- MSC: Primary 26A21
- DOI: https://doi.org/10.1090/S0002-9939-1992-1097337-8
- MathSciNet review: 1097337