Geodesic
Then-Point Condition and Rough CAT(0)
Analysis and Geometry in Metric Spaces, Tome 1 (2013) no. 1, pp. 58-68.

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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.
Mots-clés : CAT(0) space, rough CAT(0) space, Gromov hyperbolic space, Gromov-Hausdorff limit, ultralimit 
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Buckley, Stephen M.; Hanson, Bruce. Then-Point Condition and Rough CAT(0). Analysis and Geometry in Metric Spaces, Tome 1 (2013) no. 1, pp. 58-68. http://geodesic.mathdoc.fr/item/AGMS_2013_1_1_a4/