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Diameters in locales: How bad they can be. (English) Zbl 0668.06008
Continuing his study of diameters on frames (or in locales) [see e.g. ibid. 25, 105-120 (1984; Zbl 0543.54023)], the author constructs a monocoreflector from diametric frames and nonexpansive mappings to metric frames and nonexpansive mappings, and shows that the metric coreflection differs, in a sense, very little. However, he shows that non-metric diametric frames may have very different (bad) properties.
Reviewer: J.Isbell

MSC:
06D99 Distributive lattices
54E35 Metric spaces, metrizability
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