Geodesic
Some properties of median metric spaces
Brian H. Bowditch1
1University of Warwick, Coventry, United Kingdom
Groups, geometry, and dynamics, Tome 10 (2016) no. 1, pp. 279-317

Voir la notice de l'article provenant de la source EMS Press

DOI

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.
DOI : 10.4171/ggd/350
Classification : 20-XX
Mots-clés : Median metric space, median algebra, CAT(0), cube complex

Brian H. Bowditch  1

1 University of Warwick, Coventry, United Kingdom 
Brian H. Bowditch. Some properties of median metric spaces. Groups, geometry, and dynamics, Tome 10 (2016) no. 1, pp. 279-317. doi: 10.4171/ggd/350
@article{10_4171_ggd_350,
     author = {Brian H. Bowditch},
     title = {Some properties of median metric spaces},
     journal = {Groups, geometry, and dynamics},
     pages = {279--317},
     year = {2016},
     volume = {10},
     number = {1},
     doi = {10.4171/ggd/350},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/350/}
}
TY  - JOUR
AU  - Brian H. Bowditch
TI  - Some properties of median metric spaces
JO  - Groups, geometry, and dynamics
PY  - 2016
SP  - 279
EP  - 317
VL  - 10
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4171/ggd/350/
DO  - 10.4171/ggd/350
ID  - 10_4171_ggd_350
ER  - 
%0 Journal Article
%A Brian H. Bowditch
%T Some properties of median metric spaces
%J Groups, geometry, and dynamics
%D 2016
%P 279-317
%V 10
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/350/
%R 10.4171/ggd/350
%F 10_4171_ggd_350

Cité par Sources :