45 citations · 69 across the 8 of their papers we have counts for
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math.GR2004★ 10 cited
A Hurewicz-type theorem for asymptotic dimension and applications to geometric group theory
G. C. Bell, A. N. Dranishnikov
We prove an asymptotic analog of the classical Hurewicz theorem on mappings which lower dimension. This theorem allows us to find sharp upper bound estimates for the asymptotic dim…
math.GR2001★ 5 cited
On asymptotic dimension of groups acting on trees
G. Bell, A. Dranishnikov
We prove the following theorem: Let be the fundamental group of a finite graph of groups with finitely generated vertex groups having asdim for all vertices $v…
math.GR2000★ 45 cited
On asymptotic dimension of groups
G. Bell, A. Dranishnikov
We prove a version of the countable union theorem for asymptotic dimension and we apply it to groups acting on asymptotically finite dimensional metric spaces. As a consequence we…