The Bing plane and separately continuous mappings (in Ukrainian)

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 $fcolon Ximes Yomathbb{B}$ is constant.

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Bibliographic Details
Main Authors: O. O. Karlova, V. K. Maslyuchenko, O. D. Myronyk
Format: Article
Language:German
Published: Ivan Franko National University of Lviv 2012-11-01
Series:Математичні Студії
Subjects:
Online Access:http://matstud.org.ua/texts/2012/38_2/188-193.pdf
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Description
Summary: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 $fcolon Ximes Yomathbb{B}$ is constant.
ISSN:1027-4634