The Gromov-Hausdorff Metric on the Space of Compact Metric Spaces is Strictly Intrinsic

Alexandr Ivanov, Nadezhda Nikolaeva, Alexey Tuzhilin

It is proved that the Gromov-Hausdorff metric on the space of compact metric spaces considered up to an isometry is strictly intrinsic, i.e., the corresponding metric space is geod…