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Metrization of additive \(\kappa\)-metric spaces. (English) Zbl 0612.54033

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
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