Joint Continuity of Separately Continuous Mappings with Values in Completely Regular Spaces
Joint Continuity of Separately Continuous Mappings with Values in Completely Regular Spaces
Abstract We prove general theorems on quasi-continuity of mappings f : X 1 × ⋯ × X n → Z with values in a completely regular space Z . As consequences, we obtain results on joint continuity of separately continuous functions of several variables involving the previous results of several …