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arXiv 2016-01-11 0 views

Separately continuous functions on products and its dependence on coordinates

Mykhaylyuk, V. V.

Original · EN

It is investigated necessary and sufficient conditions on topological spaces X=∏ ₛ∈ ₛXₛ and Y=∏ ₜ∈ ₜYₜ for the dependence of every separately continuous functions f:X× Y→ R on at most coordinates with respect to the first or the second variable.

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