Real Analysis Exchange

On Finitely Continuous Darboux Functions and Strong Finitely Continuous Functions

Mariola Marciniak

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Abstract

Properties of the families of finitely continuous and strong finitely continuous functions are investigated. We show that the Darboux property implies continuity of strong finitely continuous functions and that the family ${ DB}_1^{**} $ is superporous in the space of all finitely continuous functions with the Darboux property.

Article information

Source
Real Anal. Exchange, Volume 33, Number 1 (2007), 15-22.

Dates
First available in Project Euclid: 28 April 2008

Permanent link to this document
https://projecteuclid.org/euclid.rae/1209398374

Mathematical Reviews number (MathSciNet)
MR2402859

Zentralblatt MATH identifier
1147.26003

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} 26A21: Classification of real functions; Baire classification of sets and functions [See also 03E15, 28A05, 54C50, 54H05]

Keywords
Darboux

Citation

Marciniak, Mariola. On Finitely Continuous Darboux Functions and Strong Finitely Continuous Functions. Real Anal. Exchange 33 (2007), no. 1, 15--22. https://projecteuclid.org/euclid.rae/1209398374


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