Real Analysis Exchange

Finite Continuous, Darboux Functions

Mariola Marciniak

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Abstract

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

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

Dates
First available in Project Euclid: 2 January 2009

Permanent link to this document
https://projecteuclid.org/euclid.rae/1230939170

Mathematical Reviews number (MathSciNet)
MR1825520

Subjects
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}

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

Citation

Marciniak, Mariola. Finite Continuous, Darboux Functions. Real Anal. Exchange 26 (2000), no. 1, 417--420. https://projecteuclid.org/euclid.rae/1230939170


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References

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