Some properties of median metric spaces (Q260117)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Some properties of median metric spaces |
scientific article; zbMATH DE number 6558486
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some properties of median metric spaces |
scientific article; zbMATH DE number 6558486 |
Statements
Some properties of median metric spaces (English)
0 references
18 March 2016
0 references
Summary: We describe a number of properties of a median metric space. In particular, we show that a complete connected median metric space of finite rank admits a canonical bi-Lipschitz equivalent CAT(0) metric. Metric spaces of this sort arise, up to bi-Lipschitz equivalence, as asymptotic cones of certain classes of finitely generated groups, and the existence of such a structure has various consequences for the large scale geometry of the group.
0 references
median metric space
0 references
median algebra
0 references
CAT(0)
0 references
cube complex
0 references
