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.
@article{bwmeta1.element.bwnjournal-article-fmv156i3p197bwm, author = {Aleksander Maliszewski}, title = {On the insertion of Darboux functions}, journal = {Fundamenta Mathematicae}, volume = {158}, year = {1998}, pages = {197-209}, zbl = {0909.26002}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv156i3p197bwm} }
Maliszewski, Aleksander. On the insertion of Darboux functions. Fundamenta Mathematicae, Tome 158 (1998) pp. 197-209. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv156i3p197bwm/
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