 CAT(k) space (source code)

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= CAT(k) space
{wiki=CAT(k)_space}

In the context of mathematics, particularly in geometric topology and metric geometry, a CAT(k) space is a type of metric space that satisfies certain curvature conditions, modeled on conditions defined by the CAT(0) and CAT(k) inequalities. The CAT conditions provide a way to generalize geometric notions of curvature to a broader class of spaces than just Riemannian manifolds.

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