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Keywords:
sequential; Fréchet; strongly Fréchet topology; product convergence; Antoine convergence; continuous convergence
sequential; Fréchet; strongly Fréchet topology; product convergence; Antoine convergence; continuous convergence
Summary:
The problem of Y. Tanaka [10] 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.
References:
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