An Isometric Embedding of the ${\ell }^{\infty }$ product space of two bounded subspaces of the Gromov-Hausdorff Space into the Gromov-Hausdorff Space

Abstract

In this paper, we prove the ${\ell }^{\infty }$ product space of two bounded subspaces of the Gromov-Hausdorff space can be isometrically embedded into the Gromov-Hausdorff space.