Real Analysis Exchange
- Real Anal. Exchange
- Volume 38, Number 2 (2012), 475-486.
Additive Properties of Certain Classes of Pathological Functions
Some additive properties of the following three families of “pathological” functions are briefly discussed: continuous nowhere differentiable functions, Sierpiński-Zygmund functions, and absolutely nonmeasurable functions.
Real Anal. Exchange, Volume 38, Number 2 (2012), 475-486.
First available in Project Euclid: 27 June 2014
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 28A05: Classes of sets (Borel fields, $\sigma$-rings, etc.), measurable sets, Suslin sets, analytic sets [See also 03E15, 26A21, 54H05] 28D05: Measure-preserving transformations
Kharazishvili, Alexander B. Additive Properties of Certain Classes of Pathological Functions. Real Anal. Exchange 38 (2012), no. 2, 475--486. https://projecteuclid.org/euclid.rae/1403894906