We characterize those Baire one functions f for which the diagonal product x → (f(x), g(x)) has a connected graph whenever g is approximately continuous or is a derivative.
@article{bwmeta1.element.bwnjournal-article-fmv146i1p21bwm, author = {Aleksander Maliszewski}, title = {Connectivity of diagonal products of Baire one functions}, journal = {Fundamenta Mathematicae}, volume = {144}, year = {1994}, pages = {21-29}, zbl = {0823.26002}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv146i1p21bwm} }
Maliszewski, Aleksander. Connectivity of diagonal products of Baire one functions. Fundamenta Mathematicae, Tome 144 (1994) pp. 21-29. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv146i1p21bwm/
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