A characterization for the products of $k$- and $\aleph _{0}$-spaces and related results
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- by Yoshio Tanaka PDF
- Proc. Amer. Math. Soc. 59 (1976), 149-155 Request permission
Abstract:
E. Michael introduced the notion of ${\aleph _0}$-spaces and characterized spaces which are both $k$-spaces and ${\aleph _0}$-spaces (or, briefly, $k$-and-${\aleph _0}$-spaces) as being precisely the quotient images of separable metric spaces. The purpose of this paper is to give a necessary and sufficient condition for the product of two $k$-and-${\aleph _0}$-spaces to be a $k$-and-${\aleph _0}$-space. Moreover, as related matters, we shall consider the products of $k$-spaces having other properties.References
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Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 59 (1976), 149-155
- MSC: Primary 54E35; Secondary 54B10, 54D50
- DOI: https://doi.org/10.1090/S0002-9939-1976-0415580-6
- MathSciNet review: 0415580