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The Bing plane and separately continuous mappings (in Ukrainian)

Keywords: separately continuous function , the Bing plane , σ -metrizable spaces , continuum

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Abstract:

We prove that the Bing plane $mathbb{B}$ is a$sigma$-metrizable but not strongly $sigma$-metrizable. Alsowe show that for $c$-connected topological spaces $X$ and $Y$each separately continuous function $fcolon X imes Y omathbb{B}$ is constant.

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