Add to ORKGUsing methods from nonstandard analysis, we will discuss which metric spaces can be realized as asymptotic cones. Applying the results we will find in the context of groups, we will prove that a group with “a few ” separable asymptotic cones is virtually nilpotent, and we will classify the real trees appearing as asymptotic cones of (not necessarily hyperbolic) groups
Tree-graded spaces are generalizations of R-trees. They appear as asymptotic cones of groups (when t...
AbstractTree-graded spaces are generalizations of R-trees. They appear as asymptotic cones of groups...
Tree-graded spaces are generalizations of R-trees. They appear as asymptotic cones of groups (when t...
Using methods from nonstandard analysis, we will discuss which metric spaces can be realized as ultr...
AbstractWe introduce a concept of tree-graded metric space and we use it to show quasi-isometry inva...
Let Y (R) be the asymptotic cone of this group as constructed in [3]. We can consider this as a metr...
We construct a finitely presented group with infinitely many non-homeomorphic asymptotic cones. We a...
We construct a finitely presented group with infinitely many non-homeomorphic asymptotic cones. We a...
The asymptotic cone of a space is a metric space representing the space viewed from infinity. Since ...
Asymptotic cones were first used by Gromov in [6], where he constructed limit spaces of nilpotent gr...
Asymptotic cones. A finitely generated group has a word metric, which one can scale and thereby view...
Asymptotische Kegel sind ein wichtiges Werkzeug der geometrischen Gruppentheorie. Mit ihrer Hilfe ve...
We will show that the bilipschitz equivalence type of a tree-graded space arising as an asymptotic c...
AbstractWe give coarse geometric conditions for a metric space X to have N-connected asymptotic cone...
AbstractWe give coarse geometric conditions for a metric space X to have N-connected asymptotic cone...
Tree-graded spaces are generalizations of R-trees. They appear as asymptotic cones of groups (when t...
AbstractTree-graded spaces are generalizations of R-trees. They appear as asymptotic cones of groups...
Tree-graded spaces are generalizations of R-trees. They appear as asymptotic cones of groups (when t...
Using methods from nonstandard analysis, we will discuss which metric spaces can be realized as ultr...
AbstractWe introduce a concept of tree-graded metric space and we use it to show quasi-isometry inva...
Let Y (R) be the asymptotic cone of this group as constructed in [3]. We can consider this as a metr...
We construct a finitely presented group with infinitely many non-homeomorphic asymptotic cones. We a...
We construct a finitely presented group with infinitely many non-homeomorphic asymptotic cones. We a...
The asymptotic cone of a space is a metric space representing the space viewed from infinity. Since ...
Asymptotic cones were first used by Gromov in [6], where he constructed limit spaces of nilpotent gr...
Asymptotic cones. A finitely generated group has a word metric, which one can scale and thereby view...
Asymptotische Kegel sind ein wichtiges Werkzeug der geometrischen Gruppentheorie. Mit ihrer Hilfe ve...
We will show that the bilipschitz equivalence type of a tree-graded space arising as an asymptotic c...
AbstractWe give coarse geometric conditions for a metric space X to have N-connected asymptotic cone...
AbstractWe give coarse geometric conditions for a metric space X to have N-connected asymptotic cone...
Tree-graded spaces are generalizations of R-trees. They appear as asymptotic cones of groups (when t...
AbstractTree-graded spaces are generalizations of R-trees. They appear as asymptotic cones of groups...
Tree-graded spaces are generalizations of R-trees. They appear as asymptotic cones of groups (when t...