Classes of Baire functions

Authors:
Gregory V. Cox and Paul D. Humke

Journal:
Trans. Amer. Math. Soc. **269** (1982), 627-635

MSC:
Primary 26A21

DOI:
https://doi.org/10.1090/S0002-9947-1982-0637714-8

MathSciNet review:
637714

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Abstract: Let and denote the sets of approximately continuous and almost everywhere continuous functions, and denote Baire's first class generated by . The classes , , , and Grande's class are investigated in some detail. Although Grande's question of whether is not settled, we do show, among other results, that .

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1982-0637714-8

Keywords:
Approximately continuous,
almost everywhere continuous,
Baire function

Article copyright:
© Copyright 1982
American Mathematical Society