AbstractThe 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. Lecture Note Ser., vol. 182, Cambridge Univ. Press, Cambridge, 1993, pp. 1–295] in the early 90s. In this paper we give a survey of its recent history where we emphasize two of its features: an analogy with the dimension theory of compact metric spaces and applications to the theory of discrete groups
A nonnegative number d(infinity), called asymptotic dimension, is associated with any metric space. ...
A nonnegative number d(infinity), called asymptotic dimension, is associated with any metric space. ...
A nonnegative number d(infinity), called asymptotic dimension, is associated with any metric space. ...
AbstractThe asymptotic dimension theory was founded by Gromov [M. Gromov, Asymptotic invariants of i...
AbstractWe construct a universal space for the class of proper metric spaces of bounded geometry and...
This thesis will be concerned with the study of some ``large-scale'' properties of metric spaces. Th...
We describe a sufficient condition for a finitely generated group to have infinite asymptotic dimens...
AbstractFor a large class of metric spaces X including discrete groups we prove that the asymptotic ...
We give a characterization for asymptotic dimension growth. We apply it to CAT(0) cube complexes of ...
AbstractWe introduce the group-compact coarse structure on a Hausdorff topological group in the cont...
AbstractWe compute the asymptotic dimension of the rationals given with an invariant proper metric. ...
AbstractFor a large class of metric spaces X including discrete groups we prove that the asymptotic ...
Asymptotic geometry is the study of metric spaces from a large scale point of view, where the local ...
AbstractAsymptotic hereditary asphericity (AHA) is a coarse property introduced by Januszkiewicz and...
We prove that graph products constructed over infinite graphs with bounded clique number preserve fi...
A nonnegative number d(infinity), called asymptotic dimension, is associated with any metric space. ...
A nonnegative number d(infinity), called asymptotic dimension, is associated with any metric space. ...
A nonnegative number d(infinity), called asymptotic dimension, is associated with any metric space. ...
AbstractThe asymptotic dimension theory was founded by Gromov [M. Gromov, Asymptotic invariants of i...
AbstractWe construct a universal space for the class of proper metric spaces of bounded geometry and...
This thesis will be concerned with the study of some ``large-scale'' properties of metric spaces. Th...
We describe a sufficient condition for a finitely generated group to have infinite asymptotic dimens...
AbstractFor a large class of metric spaces X including discrete groups we prove that the asymptotic ...
We give a characterization for asymptotic dimension growth. We apply it to CAT(0) cube complexes of ...
AbstractWe introduce the group-compact coarse structure on a Hausdorff topological group in the cont...
AbstractWe compute the asymptotic dimension of the rationals given with an invariant proper metric. ...
AbstractFor a large class of metric spaces X including discrete groups we prove that the asymptotic ...
Asymptotic geometry is the study of metric spaces from a large scale point of view, where the local ...
AbstractAsymptotic hereditary asphericity (AHA) is a coarse property introduced by Januszkiewicz and...
We prove that graph products constructed over infinite graphs with bounded clique number preserve fi...
A nonnegative number d(infinity), called asymptotic dimension, is associated with any metric space. ...
A nonnegative number d(infinity), called asymptotic dimension, is associated with any metric space. ...
A nonnegative number d(infinity), called asymptotic dimension, is associated with any metric space. ...
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