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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Products of sequential spaces

Author: Yoshio Tanaka
Journal: Proc. Amer. Math. Soc. 54 (1976), 371-375
MathSciNet review: 0397665
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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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Keywords: Sequential spaces, Fréchet spaces, strongly Fréchet spaces, symmetrizable spaces, semimetrizable spaces
Article copyright: © Copyright 1976 American Mathematical Society

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