Products of sequential spaces

Tanaka, Yoshio

doi:10.1090/S0002-9939-1976-0397665-6

Products of sequential spaces
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Proc. Amer. Math. Soc. 54 (1976), 371-375 Request permission

Abstract:

S. P. Franklin introduced the notion of a sequential space and characterized such spaces as being precisely the quotient images of metric spaces. In this paper we investigate a necessary and sufficient condition for the product of a first countable space with a sequential space to be sequential, and we consider the property “sequential space” in ${X^\omega }$.

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Additional Information

Journal: Proc. Amer. Math. Soc. 54 (1976), 371-375
DOI: https://doi.org/10.1090/S0002-9939-1976-0397665-6
MathSciNet review: 0397665