Real Analysis Exchange

Finite Continuous, Darboux Functions

Mariola Marciniak

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Some properties of finite continuous functions are investigated. In particular we show that, in the class of Darboux functions, the family of 2-continuous functions is the same as the family $B_1^{**}$ and the set of all discontinuity points of finite continuous, Darboux functions is nowhere dense.

Article information

Real Anal. Exchange, Volume 26, Number 1 (2000), 417-420.

First available in Project Euclid: 2 January 2009

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Mathematical Reviews number (MathSciNet)

Primary: 26A15: Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) {For properties determined by Fourier coefficients, see 42A16; for those determined by approximation properties, see 41A25, 41A27}

continuity countably continuous function Darboux function Baire one star function ordinary system


Marciniak, Mariola. Finite Continuous, Darboux Functions. Real Anal. Exchange 26 (2000), no. 1, 417--420.

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