24 citations · 57 across the 4 of their papers we have counts for
5 papers · 1 filter
Isometric embeddings of pretangent spaces in E^n
V. Bilet, O. Dovgoshey
We prove some infinitesimal analogs of classical results of Menger, Schoenberg and Blumenthal giving the existence conditions for isometric embeddings of metric spaces in the finit…
Ultrametricity and metric betweenness in tangent spaces to metric spaces
O. Dovgoshey, D. Dordovskyi
The paper deals with pretangent spaces to general metric spaces. An ltrametricity criterion for pretangent spaces is found and it is closely related to the metric betweenness in th…
Tangent spaces to metric spaces and to their subspaces
O. Dovgoshey
We investigate a tangent space at a point of a general metric space and metric space valued derivatives. The conditions under which two different subspace of a metric space have is…
Metric spaces with unique pretangent spaces
Oleksiy Dovgoshey, Fahreddin Abdullayev, Mehmet Kuchukaslan
We find necessary and sufficient conditions under which an arbitrary metric space has a unique pretangent space at the marked point . Key words: Metric spaces; Tangent…
Products of metric spaces, covering numbers, packing numbers and characterizations of ultrametric spaces
Oleksiy Dovgoshey, Olli Martio
We describe some Cartesian products of metric spaces and find conditions under which products of ultrametric spaces are ultrametric.