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Strongly sequential spaces. (English) Zbl 1037.54504
Summary: The problem posed by Y.Tanaka of characterizing the topologies whose products with each first-countable space are sequential, is solved. The spaces that answer the problem are called strongly sequential spaces in analogy to strongly Fréchet spaces.

MSC:
54D55 Sequential spaces
54A20 Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.)
54B30 Categorical methods in general topology
54B10 Product spaces in general topology
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