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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Measurable Darboux functions


Authors: J. B. Brown, P. Humke and M. Laczkovich
Journal: Proc. Amer. Math. Soc. 102 (1988), 603-610
MSC: Primary 26A21
DOI: https://doi.org/10.1090/S0002-9939-1988-0928988-5
Erratum: Proc. Amer. Math. Soc. 107 (1989), 1147.
MathSciNet review: 928988
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Abstract: We investigate how certain Darboux-like properties of real functions (including connectivity, almost continuity, and peripheral continuity) are related to each other within certain measurability classes (including the classes of Lebesgue measureable, Borel, and Baire-$ 1$ functions).


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DOI: https://doi.org/10.1090/S0002-9939-1988-0928988-5
Keywords: Darboux, connectivity, Baire's first class
Article copyright: © Copyright 1988 American Mathematical Society