Isiwata, Takesi Metrization of additive \(\kappa\)-metric spaces. (English) Zbl 0612.54033 Proc. Am. Math. Soc. 100, 164-168 (1987). We prove that an additive \(\kappa\)-metric space X is metrizable if X is one of the following: (1) X is pseudocompact, (2) X is a wM-space, (3) X is a paracompact \(\beta\)-space, especially stratifiable. MSC: 54E20 Stratifiable spaces, cosmic spaces, etc. 54E35 Metric spaces, metrizability 54E30 Moore spaces Keywords:pseudocompact space; M-space; stratifiable space; developable space; additive \(\kappa \)-metric space; wM-space; paracompact \(\beta \)-space PDF BibTeX XML Cite \textit{T. Isiwata}, Proc. Am. Math. Soc. 100, 164--168 (1987; Zbl 0612.54033) Full Text: DOI OpenURL