Measurable Darboux functions

Brown, J. B.; Humke, P.; Laczkovich, M.

doi:10.1090/S0002-9939-1988-0928988-5

Measurable Darboux functions
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by J. B. Brown, P. Humke and M. Laczkovich PDF

Proc. Amer. Math. Soc. 102 (1988), 603-610 Request permission

Erratum: Proc. Amer. Math. Soc. 107 (1989), 1147.

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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