Isometry group of Gromov-Hausdorff space

Authors

  • A. O. Ivanov Faculty FN of Bauman Moscow Technical State University, Russia Author
  • A. A. Tuzhilin Mechanical and Mathematical Faculty of Lomonosov Moscow State University, Russia Author

Keywords:

Gromov-Hausdorff space, Gromov-Hausdorff distance, compact metric spaces, isometry groups, Metric Geometry

Subjects:

53C23, 54E45, 51F99

Abstract

The present paper is devoted to investigation of the isometry group of the Gromov-Hausdorff space, i.e., the metric space of compact metric spaces considered up to isometry and endowed with the Gromov-Hausdorff metric. The main goal is to present a complete proof of the following result by G. Lowther (2015): the isometry group of the Gromov-Hausdorff space is trivial.

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Published

2019-04-15

Issue

Vol. 71 No. 1-2 (2019): Vol. 71, Issue 1-2

Section

Articles

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Copyright (c) 2019 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.