Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4659596 | Topology and its Applications | 2011 | 8 Pages |
Abstract
We prove that there is a residual subset of the Gromov–Hausdorff space (i.e. the space of all compact metric spaces up to isometry endowed with the Gromov–Hausdorff distance) whose elements enjoy several unexpected properties. In particular, they have zero lower box dimension and infinite upper box dimension.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology