Add to ORKGWe show that under certain mild conditions, a metric simplicial complex which satisfies the Ptolemy inequality is a CAT(0) space. Ptolemy’s inequality is closely related to inversions of metric spaces. For a large class of metric simplicial complexes, we characterize those which are isometric to Euclidean space in terms of metric inversions
We show that groups satisfying Kazhdan's property (T) have no unbounded actions on finite dimensiona...
AbstractIn this note, we characterize the graphs (1-skeletons) of some piecewise Euclidean simplicia...
Gromov (2001) and Sturm (2003) proved that any four points in a CAT(0) space satisfy a certain famil...
We show that under certain mild conditions, a metric simplicial complex which satisfies the Ptolemy...
We consider Ptolemy’s inequality in a metric space setting. It is not hard to see that CAT(0) space...
Abstract. We consider Ptolemy’s inequality in a metric space setting. It is not hard to see that CAT...
We provide examples of nonlocally, compact, geodesic Ptolemy metric spaces which are not uniquely ge...
In this paper we characterize Ptolemy circles and Ptolemy segments up to isometry. Moreover, we pres...
From Springer Nature via Jisc Publications RouterHistory: received 2020-04-26, rev-recd 2020-09-15, ...
We obtain a Möbius characterization of the n-dimensional spheres S n endowed with the chordal metric...
In this paper we generalize the Möbius characterization of metric spheres as obtained in Foertsch an...
The following changes would like to be highlighted in the abstract: We provide examples of nonlocall...
My dissertation focuses on the existence of metrics of non-positive curvature for the simplicial com...
In this paper we obtain results indicating that fine shape is tractable and "not too strong" even in...
AbstractIf X is a finite-dimensional, complete, metric AR (or ANR), then X×R∞ is R∞ (or an open subs...
We show that groups satisfying Kazhdan's property (T) have no unbounded actions on finite dimensiona...
AbstractIn this note, we characterize the graphs (1-skeletons) of some piecewise Euclidean simplicia...
Gromov (2001) and Sturm (2003) proved that any four points in a CAT(0) space satisfy a certain famil...
We show that under certain mild conditions, a metric simplicial complex which satisfies the Ptolemy...
We consider Ptolemy’s inequality in a metric space setting. It is not hard to see that CAT(0) space...
Abstract. We consider Ptolemy’s inequality in a metric space setting. It is not hard to see that CAT...
We provide examples of nonlocally, compact, geodesic Ptolemy metric spaces which are not uniquely ge...
In this paper we characterize Ptolemy circles and Ptolemy segments up to isometry. Moreover, we pres...
From Springer Nature via Jisc Publications RouterHistory: received 2020-04-26, rev-recd 2020-09-15, ...
We obtain a Möbius characterization of the n-dimensional spheres S n endowed with the chordal metric...
In this paper we generalize the Möbius characterization of metric spheres as obtained in Foertsch an...
The following changes would like to be highlighted in the abstract: We provide examples of nonlocall...
My dissertation focuses on the existence of metrics of non-positive curvature for the simplicial com...
In this paper we obtain results indicating that fine shape is tractable and "not too strong" even in...
AbstractIf X is a finite-dimensional, complete, metric AR (or ANR), then X×R∞ is R∞ (or an open subs...
We show that groups satisfying Kazhdan's property (T) have no unbounded actions on finite dimensiona...
AbstractIn this note, we characterize the graphs (1-skeletons) of some piecewise Euclidean simplicia...
Gromov (2001) and Sturm (2003) proved that any four points in a CAT(0) space satisfy a certain famil...