AbstractWe construct a universal space for the class of proper metric spaces of bounded geometry and of given asymptotic dimension. As a consequence of this result, we establish coincidence of asymptotic dimension with asymptotic inductive dimension
We prove that graph products constructed over infinite graphs with bounded clique number preserve fi...
AbstractWe consider the notion of dimension in four categories: the category of (unbounded) separabl...
The purpose of this note is to characterize the asymptotic dimension asdim(X) of metric spaces X in ...
AbstractWe construct a universal space for the class of proper metric spaces of bounded geometry and...
AbstractThe asymptotic dimension theory was founded by Gromov [M. Gromov, Asymptotic invariants of i...
Answering a question of Ma, Siegert, and Dydak we show that there is no universal proper metric spac...
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...
AbstractAsymptotic hereditary asphericity (AHA) is a coarse property introduced by Januszkiewicz and...
AbstractWe compute the asymptotic dimension of the rationals given with an invariant proper metric. ...
We give a characterization for asymptotic dimension growth. We apply it to CAT(0) cube complexes of ...
AbstractThe asymptotic dimension theory was founded by Gromov [M. Gromov, Asymptotic invariants of i...
AbstractFor a large class of metric spaces X including discrete groups we prove that the asymptotic ...
Asymptotic property C is a dimension-like large-scale invariant of metric spaces that is of interest...
AbstractIn this paper we study two problems concerning Assouad–Nagata dimension:(1)Is there a metric...
We prove that graph products constructed over infinite graphs with bounded clique number preserve fi...
AbstractWe consider the notion of dimension in four categories: the category of (unbounded) separabl...
The purpose of this note is to characterize the asymptotic dimension asdim(X) of metric spaces X in ...
AbstractWe construct a universal space for the class of proper metric spaces of bounded geometry and...
AbstractThe asymptotic dimension theory was founded by Gromov [M. Gromov, Asymptotic invariants of i...
Answering a question of Ma, Siegert, and Dydak we show that there is no universal proper metric spac...
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...
AbstractAsymptotic hereditary asphericity (AHA) is a coarse property introduced by Januszkiewicz and...
AbstractWe compute the asymptotic dimension of the rationals given with an invariant proper metric. ...
We give a characterization for asymptotic dimension growth. We apply it to CAT(0) cube complexes of ...
AbstractThe asymptotic dimension theory was founded by Gromov [M. Gromov, Asymptotic invariants of i...
AbstractFor a large class of metric spaces X including discrete groups we prove that the asymptotic ...
Asymptotic property C is a dimension-like large-scale invariant of metric spaces that is of interest...
AbstractIn this paper we study two problems concerning Assouad–Nagata dimension:(1)Is there a metric...
We prove that graph products constructed over infinite graphs with bounded clique number preserve fi...
AbstractWe consider the notion of dimension in four categories: the category of (unbounded) separabl...
The purpose of this note is to characterize the asymptotic dimension asdim(X) of metric spaces X in ...
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