Painlevé conjecture

In physics, the Painlevé conjecture is a theorem about singularities among the solutions to the n-body problem: there are noncollision singularities for n ≥ 4.

The theorem was proven for n ≥ 5 in 1988 by Jeff Xia and for n = 4 in 2014 by Jinxin Xue.

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