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Tangency relations for sets in some classes in generalized metric spaces. (English) Zbl 0963.51005
The author gives some results on the tangency relation being restricted to some families of sets of points on generalized metric spaces. Some sufficient conditions for the compatibility of restricted tangency relations and for being equivalences are presented in the paper. The Darboux property at a point plays an essential role in the considerations.

MSC:
51K05 General theory of distance geometry
54E35 Metric spaces, metrizability
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References:
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