Registration Number
0218U007783,
0117U006050
, R & D reports
Title
Geometric properties of metric spaces and mappings in Finsler manifolds
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Head
Afanasjeva Olena Sergiivna,
Registration Date
19-12-2018
Organization
Institute of Applied Mathematics and Mechanics National Academy of Science of Ukraine
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Metric spaces, their generalizations and mappings with finite distortion in Finsler manifolds are the objects of investigation. The mappings with finite distortion are studied in Euclidean spaces and Finsler manifolds by using modulus methods. The homeomorphisms of the Sobolev class with a critical exponent were studied. Their connections with ring and lower Q-homeomorphisms are established. We investigate the clasters of pretangent spaces at infinity. The connection between ball-preserving mappings of ultrametric spaces and the embedddings of their representing trees is established. We introduce and investigate the ordinal spaces that in some sense are generalizations of semi-metric spaces.
Product Description
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Білет Вікторія Вікторівна
Петров Євген Олександрович
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2020-04-02
