Universally first return continuous functions
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- by Udayan B. Darji, Michael J. Evans and Richard J. O’Malley PDF
- Proc. Amer. Math. Soc. 123 (1995), 2677-2685 Request permission
Abstract:
It is known that the first return continuous functions are precisely the Darboux functions in Baire class 1, and that every such function can be changed via a homeomorphism into an approximately continuous function. Here we give two characterizations of the smaller class of universally first return continuous functions, one of which is the capacity of changing such a function via a homeomorphism into an approximately continuous function which is continuous almost everywhere.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 2677-2685
- MSC: Primary 26A21; Secondary 26A15, 26A24
- DOI: https://doi.org/10.1090/S0002-9939-1995-1233966-9
- MathSciNet review: 1233966