Finite asymptotic dimension for CAT(0) cube complexes

We prove that the asymptotic dimension of a finite-dimensional CAT(0) cube complex is bounded above by the dimension. To achieve this we prove a controlled colouring theorem for the complex. We also show that every CAT(0) cube complex is a contractive retraction of an infinite dimensional cube. As a...

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Bibliographic Details
Main Author: Wright, Nick (Author)
Format: Article
Language:English
Published: 2012-04-08.
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