Joint continuity of separately continuous mappings on topological groups

Ebrahimi-Vishki, H.

doi:10.1090/S0002-9939-96-03538-1

Joint continuity of separately continuous mappings on topological groups
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by H. R. Ebrahimi-Vishki PDF

Proc. Amer. Math. Soc. 124 (1996), 3515-3518 Request permission

Abstract:

The main theorem of this paper is somewhat stronger than the following statement: Let $G$ be a Baire semitopological group, let $H$ be a first countable one and let $N$ be a first countable topological group; then each separately continuous bi-homomorphism from $G\times H$ into $N$ is jointly continuous. This theorem has some consequences on joint continuity of separately continuous multiplication of rings and scalar multiplication of modules.

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