The Bing plane and separately continuous mappings (in Ukrainian)

Author O. O. Karlova, V. K. Maslyuchenko, O. D. Myronyk
math.analysis.chnu@gmail.com
. .

Abstract We prove that the Bing plane $\mathbb{B}$ is $\sigma$-metrizable but not strongly $\sigma$-metrizable. Also we show that for $c$-connected topological spaces $X$ and $Y$ each separately continuous function $f:X\times Y\to \mathbb{B}$ is constant.
Keywords separately continuous function; the Bing plane; $\sigma$-metrizable spaces; continuum
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Pages 188-193
Volume 38
Issue 2
Year 2012
Journal Matematychni Studii
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