The example of separately continiuos and everywhere discontiniuos function  $f: \mathbb{R} × \mathbb{R}^∞ → \mathbb{R}$ is given.

[1] Haidukevych O.I., Maslyuchenko V.K. Cumulative continuity of Carathéodory functions on products $T × \mathbb{R}^∞$ / / Proceedings of the scientific conference dedicated to the 125th anniversary of the birth of the outstanding Ukrainian scientist, mathematician Volodymyr Levytsky. - Ternopil, 1977. - P.17-19.

[2] Haidukevych O.I. Some generalizations of the Skorz-Dragoni theorem // Contemporary problems of mathematics: Proceedings of the international scientific conference Part 1. Kyiv: Institute of Mathematics of the National Academy of Sciences of Ukraine, 1998. - P.121-122.

[3] Haidukevych O.I., Maslyuchenko V.K. New generalizations of the Skorz-Dragoni theorem // Ukr. Mat.  Journal - 2000. - 52, N7. - P.881-888.

[4] Gaidukevich O.I., Maslyuchenko V.K., Mykhailiuk V.V. Straight boundaries and the Skorz-Dragoni property // Supplements of the NAS of Ukraine. - 2001. - N5. - P.10-13.

[5] Piotrowski Z. Separate and joint continuity // Real Anal. Exch. - 1985-86. - 11 , N2. - P.293-322.

[6] Piotrowski Z. Separate and joint continuity. II // Real Anal. Exch.- 1989-90. - 15 , N1. - P.248-258.

[7] Maslyuchenko V.K., Mykhailiuk V.V., Sobchuk O.V. Studies on distinctly continuous mappings / / Proceedings of the International Math. Conference, dedicated to the memory of Hans Hahn. - Chernivtsi: Ruta, 1995. - P.192-246.

[8] Maslyuchenko V.K. Hahn spaces and the Dini problem / / Math. methods and phys.-mechan. fields. 1998. - 41, No. 4. - P.39-45.

[9] Maslyuchenko V.K. Dissertation on distinctly continuous mappings and Käthe spaces. Diss. ... doctor of phys.-math. sciences. - Chernivtsi, 1999. - 345 p.