Compositions of $\varrho$-lower continuous functions

Abstract

In the paper some properties of compositions of %-lower continuous functions are presented. We will show conditions for a function and for a homeomorphism $ f : I \to I$ under which $g \circ f$ is $\varrho$-lower continuousfor each $\varrho$-lower continuous function $g : I\to \mathbb{R}$.
Some relevant properties will be discussed.