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The Bing plane and separately continuous mappings (in Ukrainian)
Journal: Matematychni Studii (Vol.38, No. 2)Publication Date: 2012-11-01
Authors : Karlova O. O.; Maslyuchenko V. K.; Myronyk O. D.;
Page : 188-193
Keywords : separately continuous function; the Bing plane; $\sigma$-metrizable spaces; continuum;
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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 $f:Xtimes Yto mathbb{B}$ is constant.
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Last modified: 2014-01-13 20:08:27