Registration Number
0218U007782,
0118U006264
, R & D reports
Title
Investigation of the asymptotic and graphic structures of given classes of metric spaces
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Head
Bilet Viktoriia Viktorivna,
Registration Date
19-12-2018
Organization
Institute of Applied Mathematics and Mechanics National Academy of Science of Ukraine
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Metric spaces, ultrametric spaces, and сlasters of pretangent spaces to general metric spaces at infinity are the objects of our investigation. It was established that a ball-preserving mapping between finite ultrametric spaces exists if and only if there exists an embedding of their representing trees, which preserves the degrees of internal nodes. In terms of representing trees we describe the finite ultrametric spaces, which admit the ball-preserving mapping between its subspaces. A new characteristic of ultrametric spaces that are extremal for the Gomory-Hu inequality is found. A geometric description of unbounded metric spaces which have finite clusters of pretangent spaces is given.
Product Description
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Довгоший Олексій Альфредович
Петров Євген Олександрович
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2020-04-02
