Alexandrov space of curvature bounded above

E2049802 UNEXPLORED

An Alexandrov space of curvature bounded above is a geodesic metric space whose triangles are no thicker than those in a model space of constant curvature, providing a synthetic generalization of spaces with an upper curvature bound in Riemannian geometry.

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Alexandrov space of curvature bounded above canonical 1

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Busemann space contrastWith Alexandrov space of curvature bounded above