Diagonals of separately continuous maps with values in box products

Olena Karlova, Volodymyr Mykhaylyuk
2018 Topological Algebra and its Applications  
We prove that if X is a paracompact connected space and Z = ∏s∈S Zs is a product of a family of equiconnected metrizable spaces endowed with the box topology, then for every Baire-one map g : X → Z there exists a separately continuous map f : X2 → Z such that f (x, x) = g(x) for all x ∈ X.
doi:10.1515/taa-2018-0002 fatcat:75t65wd2xjdy5hk6w6gdovlnyi