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On the tangency of sets of some class in generalized metric spaces. (English) Zbl 0760.54022
The author considers the tangency relation in a generalized metric space [see the reviewer, Ann. Pol. Math. 28, 275-284 (1973; Zbl 0292.53047)] and, for two generalized metrics related by means of a metric, he studies some restrictions of the tangency relation which lead to compatibility of the restricted relations. Other restrictions lead to reflexivity, symmetry and transitivity of the restricted relation.
{Reviewer’s remark: Theorem 1.2 is not quoted precisely}.

MSC:
54E25 Semimetric spaces
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