Mathematicians have solved the century-old triangulation conjecture, a major problem in topology that asks whether all spaces can be subdivided into smaller units. The question is deceptively simple: ...

Z1, Z2, ⋯ is a sequence of iid k-vectors with common distribution P. G* is a group of transformations Zn → CZn + b, C ε G, where G is a Lie group of k2 matrices, dim G ≥ 1, G closed in the group of ...