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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 authors. HistoryThe problem of joint continuity of separately continuous mappings has been intensively studied by mathematicians throughout the 20th century since the thesis of R. B a i r e