Article ID Journal Published Year Pages File Type
4658973 Topology and its Applications 2013 8 Pages PDF
Abstract

We prove that for a topological space X, an equiconnected space Z and a Baire-one mapping g:X→Z there exists a separately continuous mapping f:X2→Z with the diagonal g, i.e. g(x)=f(x,x) for every x∈X. Under a mild assumptions on X and Z we obtain that diagonals of separately continuous mappings f:X2→Z are exactly Baire-one functions, and diagonals of mappings f:X2→Z which are continuous on the first variable and Lipschitz (differentiable) on the second one, are exactly the functions of stable first Baire class.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology