On hypersphericity of manifolds with finite asymptotic dimension

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How researchers see this paper

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Nagata dimension, quasisymmetric embeddings, and Lipschitz extensions (2004, background): “We thank Sergei Buyalo, Alexander Dranishnikov, Bruce Kleiner and Viktor Schroeder for inspiring discussions.”
Universal spaces for asymptotic dimension (2002, methodology): “We argue like in the proof of Theorem 3 from [ 9 ] to show that the quotient space ⊔{IU | U ∈ ∪ ∞=0 U i k }/ ∼ is a tree.”
Embedding of hyperbolic groups into products of binary trees (2007, methodology): “For more general spaces Z, this construction is carried out in [Bu], where n is then the � -dimension of Z. The basic idea to use this kind of construction originates in [ D1 ].”
Asymptotic dimension of relatively hyperbolic groups (2004, background): “Some other results concerning groups of finite asymptotic dimension can be found in [6, 9, 20].”