Add to ORKGWe construct a finitely presented group with infinitely many non-homeomorphic asymptotic cones. We also show that the existence of cut points in asymptotic cones of finitely presented groups does, in general, depend on the choice of scaling constants and ultrafilters
Asymptotic cones were first used by Gromov in [6], where he constructed limit spaces of nilpotent gr...
The asymptotic cone of a space is a metric space representing the space viewed from infinity. Since ...
AbstractWe show that for any metric space M satisfying certain natural conditions, there is a finite...
We construct a finitely presented group with infinitely many non-homeomorphic asymptotic cones. We a...
Asymptotic cones. A finitely generated group has a word metric, which one can scale and thereby view...
Using methods from nonstandard analysis, we will discuss which metric spaces can be realized as asym...
Let Γ be a finitely presented group. We consider the relationship between the complexity of the word...
Asymptotische Kegel sind ein wichtiges Werkzeug der geometrischen Gruppentheorie. Mit ihrer Hilfe ve...
AbstractWe give coarse geometric conditions for a metric space X to have N-connected asymptotic cone...
AbstractLet G be a connected semisimple Lie group with at least one absolutely simple factor S such ...
Using methods from nonstandard analysis, we will discuss which metric spaces can be realized as ultr...
Let Y (R) be the asymptotic cone of this group as constructed in [3]. We can consider this as a metr...
AbstractLet G be a connected semisimple Lie group with at least one absolutely simple factor S such ...
Abstract. We prove that if a finitely presented group is one-ended then its asymptotic dimension is ...
AbstractWe introduce a concept of tree-graded metric space and we use it to show quasi-isometry inva...
Asymptotic cones were first used by Gromov in [6], where he constructed limit spaces of nilpotent gr...
The asymptotic cone of a space is a metric space representing the space viewed from infinity. Since ...
AbstractWe show that for any metric space M satisfying certain natural conditions, there is a finite...
We construct a finitely presented group with infinitely many non-homeomorphic asymptotic cones. We a...
Asymptotic cones. A finitely generated group has a word metric, which one can scale and thereby view...
Using methods from nonstandard analysis, we will discuss which metric spaces can be realized as asym...
Let Γ be a finitely presented group. We consider the relationship between the complexity of the word...
Asymptotische Kegel sind ein wichtiges Werkzeug der geometrischen Gruppentheorie. Mit ihrer Hilfe ve...
AbstractWe give coarse geometric conditions for a metric space X to have N-connected asymptotic cone...
AbstractLet G be a connected semisimple Lie group with at least one absolutely simple factor S such ...
Using methods from nonstandard analysis, we will discuss which metric spaces can be realized as ultr...
Let Y (R) be the asymptotic cone of this group as constructed in [3]. We can consider this as a metr...
AbstractLet G be a connected semisimple Lie group with at least one absolutely simple factor S such ...
Abstract. We prove that if a finitely presented group is one-ended then its asymptotic dimension is ...
AbstractWe introduce a concept of tree-graded metric space and we use it to show quasi-isometry inva...
Asymptotic cones were first used by Gromov in [6], where he constructed limit spaces of nilpotent gr...
The asymptotic cone of a space is a metric space representing the space viewed from infinity. Since ...
AbstractWe show that for any metric space M satisfying certain natural conditions, there is a finite...