The functions that do not change types of minimal fillings |
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Authors: | S Yu Lipatov |
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Institution: | 1.Faculty of Mechanics and Mathematics, Leninskie Gory,Moscow State University,Moscow,Russia |
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Abstract: | It is proved that a function changing distances in finite metric spaces and preserving the types of their minimal fillings has the form f (x) = kx + b. It is sufficient to assume that the types of fillings are preserved for spaces consisting of at most five points. |
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