$k$-spaces and products of closed images of metric spaces
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- by Gary Gruenhage PDF
- Proc. Amer. Math. Soc. 80 (1980), 478-482 Request permission
Abstract:
We show that a recent theorem of Y. Tanaka giving necessary and sufficient conditions for the product of two closed images of metric spaces to be a k-space is independent of the usual axioms of set theory.References
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- Yoshio Tanaka, A characterization for the products of $k$- and $\aleph _{0}$-spaces and related results, Proc. Amer. Math. Soc. 59 (1976), no. 1, 149–155. MR 415580, DOI 10.1090/S0002-9939-1976-0415580-6
- Yoshio Tanaka, On the $k$-ness for the products of closed images of metric spaces, General Topology Appl. 9 (1978), no. 2, 175–183. MR 493934, DOI 10.1016/0016-660X(78)90062-4
- Yoshio Tanaka, A characterization for the product of closed images of metric spaces to be a $k$-space, Proc. Amer. Math. Soc. 74 (1979), no. 1, 166–170. MR 521892, DOI 10.1090/S0002-9939-1979-0521892-0
Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 80 (1980), 478-482
- MSC: Primary 54D50
- DOI: https://doi.org/10.1090/S0002-9939-1980-0581009-1
- MathSciNet review: 581009