Compositions of $ρ$-upper continuous functions

Year, pages: 2016, 585 - 600

In the paper, some properties of compositions of $ρ$-upper continuous functions are presented. We will show conditions for a function $f: I \to I$ under which $g\circ f$ is $ρ$-upper continuous for each $ρ$-upper continuous function $g: I \to \mathbb{R}$. A small generalization of Luzin-Menchoff Theorem and Zahorski Theorem will be discussed.

Kowalczyk, S. 2016. Compositions of $ρ$-upper continuous functions. In Mathematica Slovaca, vol. 66, no.3, pp. 585-600. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0162

Kowalczyk, S. (2016). Compositions of $ρ$-upper continuous functions. Mathematica Slovaca, 66(3), 585-600. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0162