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Geormtry of the Gromov-Hausdorff Distance on the Class of all Metric Spacesстатья Перевод
- Авторы: Borzov Stanislav Igorevich, Ivanov Alexandr Olegovich, Tuzhilin Alexey Avgustinovich
- Журнал: Sbornik Mathematics
- Том: 213
- Номер: 5
- Год издания: 2022
- Издательство: London Mathematical Society
- Местоположение издательства: United Kingdom
- DOI: 10.1070/sm9651
- Аннотация: In the paper geometry of Gromov--Hausdorff distance on the class of all metric spaces considered up to an isometry is investigated. For this class continuous curves and their lengths are defined, and it is shown that the Gromov--Hausdorff distance is intrinsic. Besides, metric segments are considered, i.e., the classes of points lying between two given ones, and an extension problem of such segments beyond their end-points is considered.
- Добавил в систему: Иванов Александр Олегович