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Some cases of compatibility of the tangency relations of sets. (English) Zbl 1044.51010
Summary: In the present paper some cases of the compatibility of the tangency relations $$T_{l_i}(a,b,k,p)$$, $$(i=1,2)$$ of sets of the classes $$\widetilde M_{p,k}$$ having the Darboux property at the point $$p$$ of the metric space $$(E,l_0)$$ are considered. Certain sufficient conditions for the compatibility of these relations are shown here.
##### MSC:
 51K10 Synthetic differential geometry 54E35 Metric spaces, metrizability
##### Keywords:
generalized metric space; tangency of sets
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