Aleksandrov spaces of curvature that are bounded above (Q1360744)

The paper contains ten theorems without proofs about Alexandrov spaces of curvature that is bounded above. These spaces are a popular and important object of modern geometric investigations. One of these theorems asserts that a Busemann \(G\)-space with an embedding curvature that is locally bounded above is isometric to a Riemannian manifold of class \(C^0\) (with \(C^1\)-atlas, in which the components of the metric tensor are continuous).