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Two-fold theorem on Fréchetness of products. (English) Zbl 0949.54010
Summary: A refined common generalization of known theorems (Arkhangel’skij, Michael, Popov and Ranchin) on the Fréchetness of products is proved. A new characterization, in terms of products, of strongly Fréchet topologies is provided.

##### MSC:
 54B10 Product spaces in general topology 54D55 Sequential spaces 54D50 $$k$$-spaces 54A20 Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) 54G15 Pathological topological spaces
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##### References:
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