The n-point Condition and Rough CAT(0)
Metric Geometry
2012-10-30 v1
Abstract
We show that for n > 4 a length space (X,d) satisfies a rough n-point condition if and only it it is rough CAT(0).
Cite
@article{arxiv.1210.7262,
title = {The n-point Condition and Rough CAT(0)},
author = {S. M. Buckley and B. Hanson},
journal= {arXiv preprint arXiv:1210.7262},
year = {2012}
}
Related papers
View all related →
Metric Geometry · Mathematics
Rough CAT(0) spaces
Stephen M. Buckley, Kurt Falk
2011-12-22
Metric Geometry · Mathematics
Inequalities on Six Points in a $\mathrm{CAT}(0)$ Space
Tetsu Toyoda
2025-03-18
Metric Geometry · Mathematics
An intrinsic characterization of five points in a $\mathrm{CAT}(0)$ space
Tetsu Toyoda
2020-09-01
Metric Geometry · Mathematics
Locating diametral points
Jin-ichi Itoh, Costin Vîlcu, Liping Yuan, Tudor Zamfirescu
2019-10-28
Metric Geometry · Mathematics
CAT(0) spaces of higher rank I
Stephan Stadler
2022-12-15
Number Theory · Mathematics
Weak approximation for linear systems of quadrics
Bo-Hae Im, Michael Larsen
2007-05-23
Condensed Matter · Physics
The stability of the O(N) invariant fixed point in three dimensions
M. Caselle, M. Hasenbusch
2008-11-26
Metric Geometry · Mathematics
CAT(0) spaces of higher rank
Stephan Stadler
2022-02-07
Group Theory · Mathematics
Fixed points for actions of Aut(Fn) on CAT(0) spaces
Olga Varghese
2016-03-04
Differential Geometry · Mathematics
Weak curvature conditions and functional inequalities
John Lott, Cedric Villani
2007-05-23
Differential Geometry · Mathematics
Conformal deformations of CAT(0) spaces
Alexander Lytchak, Stephan Stadler
2017-11-15
Graphics · Computer Science
Closed-form Quadrangulation of N-Sided Patches
Marco Tarini
2022-07-15
Functional Analysis · Mathematics
On the Suzuki nonexpansive-type mappings
Anna Betiuk-Pilarska, Andrzej Wiśnicki
2015-11-24
Differential Geometry · Mathematics
Effective stability of negatively curved Einstein metrics in dimensions at least $4$
Frieder Jäckel
2025-12-30
Metric Geometry · Mathematics
Large scale detection of half-flats in CAT(0)-spaces
S. Francaviglia, J. -F. Lafont
2010-09-17
Functional Analysis · Mathematics
Some Results on Fixed Points and Approximation for a New Class of Mappings in CAT(0) Spaces
Mehdi Asadi, Hossein Soleimani
2012-05-31
Logic · Mathematics
There may be exactly $n$ $Q$-points
Lorenz Halbeisen, Silvan Horvath, Tan Özalp
2025-07-22
Functional Analysis · Mathematics
Nearest point problem in countably normed spaces
Moustafa M. Zakaria, Nashat Faried, Hany A. El-Sharkawy
2022-12-14
Probability · Mathematics
Critical Brownian sheet does not have double points
Robert C. Dalang, Davar Khoshnevisan, Eulalia Nualart, Dongsheng Wu +1
2012-08-01
Metric Geometry · Mathematics
The fixed point property and unbounded sets in spaces of negative curvature
Bozena Piatek
2014-08-01
General Topology · Mathematics
Unique common fixed point results for four weakly commuting maps in $G$-metric spaces
Talat Nazir, Sergei Silvestrov
2023-07-24
Group Theory · Mathematics
On semistability of $CAT(0)$ groups
Ross Geoghegan, Eric Swenson
2020-10-14
Metric Geometry · Mathematics
Extreme points in non-positive curvature
Nicolas Monod
2016-06-07
Metric Geometry · Mathematics
Fixed-point property of random quotients by plain words
Hiroyasu Izeki
2013-10-02
Probability · Mathematics
Necessary and sufficient conditions for realizability of point processes
Tobias Kuna, Joel L. Lebowitz, Eugene R. Speer
2011-08-23