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Separately continuous functions of several variables on products of spaces which are products of metrizable factors. (Ukrainian. English summary) Zbl 1142.54322

Summary: We obtain necessary and sufficient conditions of dependence on \(\aleph\) coordinates for functions of several variables each of which is a product of metrizable factors. The set of discontinuity points of such functions is characterized in the case when each variable is a product of separable metrizable spaces.

MSC:

54B10 Product spaces in general topology
54C10 Special maps on topological spaces (open, closed, perfect, etc.)
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