TY - JOUR
AU - V. K. Maslyuchenko
AU - O. I. Filipchuk
PY - 2019/06/25
Y2 - 2020/12/05
TI - Discontinuity points of separately continuous mappings
with at most countable set of values
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 71
IS - 6
SE - Research articles
DO -
UR - http://umj.imath.kiev.ua/index.php/umj/article/view/1477
AB - UDC 517.51 We obtain a general result on the constancy of separately continuous mappings and their analogs, which implies the wellknownSierpiÂ´nski theorem. By using this result, we study the set of continuity points of separately continuous mappingswith at most countably many values including, in particular, the mappings defined on the square of the Sorgenfrey linewith values in the Bing plane.
ER -