On continuous and quasi-continuous functions
In this paper, there is an answer to the question if continuous functions constitute a porous set in the space of bounded Darboux functions \(f: \mathbb{R}^ 2\to \mathbb{R}^ 2\) with finite variation, equipped with the metric of uniform convergence. The answer is yes! But it was proved more: The space of continuous functions is the porous set in the same space which is a subset of the space of Darboux functions with finite variation.
scientific article; zbMATH DE number 627519