On the insertion of Darboux functions
Volume 156 / 1998
Fundamenta Mathematicae 156 (1998), 197-209
DOI: 10.4064/fm-156-3-197-209
Abstract
The main goal of this paper is to characterize the family of all functions f which satisfy the following condition: whenever g is a Darboux function and f < g on ℝ there is a Darboux function h such that f < h < g on ℝ.