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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:
 5.4e+21 Stratifiable spaces, cosmic spaces, etc. 5.4e+36 Metric spaces, metrizability 5.4e+31 Moore spaces
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