It is proved that for each continuous function $g : \mathbb{L} → \mathbb{L}$, where $\mathbb{L}$ is the Sorgenfrey line, there exists the separately continuous mapping $f : \mathbb{L}^2 → \mathbb{B}$ with values in the Bing plane, such that it’s set of discontinuity points $D(f)$ coinsides with the graph $Grg$ of $g$.

[1] Maslyuchenko, V.; Myronyk, O.; Filipchuk, O.(2017) Joint continuity of separately continuous mappings with values in completely regular spaces : Tatra Mt. Math. Publ., 68, 47-58. DOI:10.1515/tmmp-2017-0004

[2] Maslyuchenko, V .; Filipchuk, O. About discontinuities of virtually continuous images with no more than an explicit set of values: Ukr. mate. journal (in print)

[3] Maslyuchenko, V .; Filipchuk, O. (2016) The discontinuities of continuous continuous images with no more than a set of meanings: Materials of the International Scientific Conference "Differential functional equations and their applications", dedicated to the 80th anniversary of the birth of Professor M.P. Lenyuka (Chernivtsi, October 28-30, 2016), 168-169.

[4] Banakh, T .; Maslyuchenko, V .; Filippchuk, O. (2017) Examples of some continuous images with continuous discontinuities on the horizontal: Mat. Newsletter NTSh, 14, 52-63.

[5] Maslyuchenko, V.; Banakh, T.; Filipchuk, O. (2017) Separately continuous mappings with nonmetrizable range : The International Conference in Functional Analysis dedicated to the 125th anniversary of Stefan Banach (18-23 September, Lviv, Ukraine), 70.

[6] Engelking, R. (1986) General topology. M: Peace Bing, R. (1953) A connected countable Hausdorff space : Proc. Amer. Math. Soc., 4, 474.

[7] Bing, R. (1953) A connected countable Hausdorff space : Proc. Amer. Math. Soc., 4, 474.

[8] Karlova, O., Maslyuchenko, V., Mironik, O. (2012) The Bing's plane and the non-continuous image: Mat. studio, 38 (2), 188-193.