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The n -Point Condition and Rough CAT(0)

Stephen M. BuckleyBruce Hanson — 2013

Analysis and Geometry in Metric Spaces

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.

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