On continuity of $KC$-functions with values in Ceder plane

  • V.K. Maslyuchenko Yuriy Fedkovych Chernivtsi National University, 2 Kotsjubynskyi str., 58012, Chernivtsi, Ukraine
  • O.D. Myronyk Yuriy Fedkovych Chernivtsi National University, 2 Kotsjubynskyi str., 58012, Chernivtsi, Ukraine
Keywords: continuity, quasicontinuity, $KC$-function
Published online: 2014-12-27

Abstract


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.
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How to Cite
(1)
Maslyuchenko V., Myronyk O. On Continuity of $KC$-Functions With Values in Ceder Plane. Carpathian Math. Publ. 2014, 6 (2), 329-336.