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Some properties of median metric spaces
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Bowditch, B. H. (2016) Some properties of median metric spaces. Groups, Geometry Dynamics, 10 (1). pp. 279-317. doi:10.4171/GGD/350 ISSN 1661-7207 .
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Official URL: http://dx.doi.org/10.4171/GGD/350
Abstract
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.
Item Type: | Journal Article | ||||||
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Subjects: | Q Science > QA Mathematics | ||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Library of Congress Subject Headings (LCSH): | Metric spaces | ||||||
Journal or Publication Title: | Groups, Geometry Dynamics | ||||||
Publisher: | EMS | ||||||
ISSN: | 1661-7207 | ||||||
Official Date: | February 2016 | ||||||
Dates: |
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Volume: | 10 | ||||||
Number: | 1 | ||||||
Number of Pages: | 39 | ||||||
Page Range: | pp. 279-317 | ||||||
DOI: | 10.4171/GGD/350 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||
Date of first compliant deposit: | 15 February 2016 | ||||||
Date of first compliant Open Access: | 15 February 2016 |
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