Asymptotic dimension
G Bell, A Dranishnikov - Topology and its Applications, 2008 - Elsevier
The asymptotic dimension theory was founded by Gromov [M. Gromov, Asymptotic invariants
of infinite groups, in: Geometric Group Theory, vol. 2, Sussex, 1991, in: London Math. Soc …
of infinite groups, in: Geometric Group Theory, vol. 2, Sussex, 1991, in: London Math. Soc …
A Hurewicz-type theorem for asymptotic dimension and applications to geometric group theory
G Bell, A Dranishnikov - Transactions of the American Mathematical …, 2006 - ams.org
We prove an asymptotic analog of the classical Hurewicz theorem on mappings that lower
dimension. This theorem allows us to find sharp upper bound estimates for the asymptotic …
dimension. This theorem allows us to find sharp upper bound estimates for the asymptotic …
Asymptotic dimension in Bedlewo
G Bell, A Dranishnikov - arXiv preprint math/0507570, 2005 - arxiv.org
arXiv:math/0507570v2 [math.GR] 11 Aug 2005 Page 1 arXiv:math/0507570v2 [math.GR] 11
Aug 2005 Ы ХШЬЧЬС СХ ЦЫСЧЦ СЦ Ф ЯЧ К ФФ Ц К Ъ ЦСЫРЦСУЧЮ зиж иК Ь з зйжк н л …
Aug 2005 Ы ХШЬЧЬС СХ ЦЫСЧЦ СЦ Ф ЯЧ К ФФ Ц К Ъ ЦСЫРЦСУЧЮ зиж иК Ь з зйжк н л …
The asymptotic dimension of a curve graph is finite
GC Bell, K Fujiwara - Journal of the London Mathematical …, 2008 - Wiley Online Library
We find an upper bound for the asymptotic dimension of a hyperbolic metric space with a set
of geodesics satisfying a certain boundedness condition studied by Bowditch. The primary …
of geodesics satisfying a certain boundedness condition studied by Bowditch. The primary …
[HTML][HTML] Asymptotic dimension, decomposition complexity, and Haver's property C
A Dranishnikov, M Zarichnyi - Topology and its Applications, 2014 - Elsevier
The notion of the decomposition complexity was introduced in [14] using a game theoretic
approach. We introduce a notion of straight decomposition complexity and compare it with …
approach. We introduce a notion of straight decomposition complexity and compare it with …
[PDF][PDF] The integral K-theoretic Novikov conjecture for groups with finite asymptotic dimension
G Carlsson, B Goldfarb - Inventiones mathematicae, 2004 - albany.edu
The integral assembly map in algebraic K-theory is split injective for any geometrically finite
discrete group with finite asymptotic dimension. The goal of this paper is to apply the …
discrete group with finite asymptotic dimension. The goal of this paper is to apply the …
The essential spectrum of Toeplitz operators on the unit ball
R Hagger - Integral Equations and Operator Theory, 2017 - Springer
In this paper we study the Fredholm properties of Toeplitz operators acting on weighted
Bergman spaces A^ p_ ν (B^ n) A ν p (B n), where p ∈ (1, ∞) p∈(1,∞) and B^ n ⊂ C^ n B …
Bergman spaces A^ p_ ν (B^ n) A ν p (B n), where p ∈ (1, ∞) p∈(1,∞) and B^ n ⊂ C^ n B …
Rigidity properties of full groups of pseudogroups over the Cantor set
NM Bon - arXiv preprint arXiv:1801.10133, 2018 - arxiv.org
We show that the (topological) full group of a minimal pseudogroup over the Cantor set
satisfies various rigidity phenomena of topological dynamical and combinatorial nature. Our …
satisfies various rigidity phenomena of topological dynamical and combinatorial nature. Our …
An etale approach to the Novikov conjecture
AN Dranishnikov, SC Ferry… - … on Pure and Applied …, 2008 - Wiley Online Library
We show that the rational Novikov conjecture for a group Γ of finite homological type follows
from the mod 2 acyclicity of the Higson compactification of an EΓ. We then show that for …
from the mod 2 acyclicity of the Higson compactification of an EΓ. We then show that for …
Coarse structures on groups
A Nicas, D Rosenthal - Topology and its Applications, 2012 - Elsevier
We introduce the group-compact coarse structure on a Hausdorff topological group in the
context of coarse structures on an abstract group which are compatible with the group …
context of coarse structures on an abstract group which are compatible with the group …