We show that for n ≥ 5, a length space (X; d) satisfies
a rough n-point condition if and only if it is rough
CAT(0). As a consequence, we show that the class
of rough CAT(0) spaces is closed under reasonably
general limit processes such as pointed and unpointed
Gromov-Hausdorff limits and ultralimits.
Analysis and Geometry in Metric Spaces (AGMS) is a fully peer-reviewed, open access electronic journal that publishes cutting-edge original research on analytical and geometrical problems in metric spaces and their mathematical applications. It features articles making connections among relevant topics in this field.