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Explicit geodesics in Gromov-Hausdorff space
Electronic Research Announcements in Mathematical Sciences
We provide an alternative, constructive proof that the collection M of isometry classes of compact metric spaces endowed with the Gromov-Hausdorff distance is a geodesic space. The core of our proof is a construction of explicit geodesics on M. We also provide several interesting examples of geodesics on M, including a geodesic between S 0 and S n for any n ≥ 1.doi:10.3934/era.2018.25.006 fatcat:w2mu24gt7bgjxfm623efjclt64