TY - JOUR
AU - Maslyuchenko, V.K.
AU - Myronyk, O.D.
PY - 2014/12/27
Y2 - 2024/02/28
TI - On continuity of $KC$-functions with values in Ceder plane
JF - Carpathian Mathematical Publications
JA - Carpathian Math. Publ.
VL - 6
IS - 2
SE - Scientific articles
DO - 10.15330/cmp.6.2.329-336
UR - https://scijournals.pnu.edu.ua/index.php/cmp/article/view/1364
SP - 329-336
AB - We show that the Ceder plane $\mathbb{M}$ is a $\sigma$-metrizable space, which does not have a development. For every quasicontinuous mapping $f:X\to\mathbb{M}$ the continuity point set $C(f)$ is residual. We investigate the continuity point set $C(f)$ of a mapping $f:X\times Y\to \mathbb{M}$, which is quasicontinuous with respect to the first variable and continuous with respect to the second one.
ER -