Article ID Journal Published Year Pages File Type
4659596 Topology and its Applications 2011 8 Pages PDF
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