Diagonals of separately continuous functions and their analogs

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• 作者：Olena Karlova ; ^{Maslenizza.Ua@gmail.com} ; Volodymyr Mykhaylyuk ^{vmykhaylyuk@ukr.net} ; Oleksandr Sobchuk ^{ss220367@ukr.net}
• 关键词：54C08 ; 54C05 ; 26B05
• 刊名：Topology and its Applications
• 出版年：2013
• 出版时间：1 January, 2013
• 年：2013
• 卷：160
• 期：1
• 页码：1-8
• 全文大小：192 K

文摘

We prove that for a topological space X, an equiconnected space Z and a Baire-one mapping there exists a separately continuous mapping with the diagonal g, i.e. for every . Under a mild assumptions on X and Z we obtain that diagonals of separately continuous mappings are exactly Baire-one functions, and diagonals of mappings which are continuous on the first variable and Lipschitz (differentiable) on the second one, are exactly the functions of stable first Baire class.