Generic properties of compact metric spaces
| Autor: | Joël Rouyer |
|---|---|
| Rok vydání: | 2011 |
| Předmět: |
Pure mathematics
Injective metric space Equilateral dimension Gromov–Hausdorff convergence Mathematics::General Topology Compact metric spaces Topology Generic properties Intrinsic metric Convex metric space Metric space Uniform continuity Hausdorff distance Mathematics - Metric Geometry Gromov–Hausdorff space Mathematics::Metric Geometry Geometry and Topology Dimension Mathematics |
| Zdroj: | Topology and its Applications. 158:2140-2147 |
| ISSN: | 0166-8641 |
| DOI: | 10.1016/j.topol.2011.07.003 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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