Embedding median algebras in products of trees
Bowditch, B. H. (2011) Embedding median algebras in products of trees. Coventry: University of Warwick. (Unpublished)Full text not available from this repository.
Official URL: http://homepages.warwick.ac.uk/~masgak/papers/medi...
We show that a metric median algebra satisfying certain conditions admits a bilipschitz embedding into a finite product of R-trees. This gives rise to a characterisation of closed connected subalgebras of finite products of complete R-trees up to bilipschitz equivalence. Spaces of this sort arise as asymptotic cones of coarse median spaces. This applies to a large class of finitely generated groups, via their Cayley graphs. We show that such groups satisfy the rapid decay property. We also recover the result of Behrstock, Drut¸u and Sapir, that the asymptotic cone of the mapping class group embeds in a finite product of R-trees.
|Item Type:||Scholarly Text|
|Subjects:||Q Science > QA Mathematics|
|Divisions:||Faculty of Science > Mathematics|
|Publisher:||University of Warwick|
|Place of Publication:||Coventry|
|Number of Pages:||27|
|Status:||Not Peer Reviewed|
|Access rights to Published version:||Open Access|
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